<?xml version="1.0" encoding="utf-8"?>
<!--Generated by DFIN XBRL Instance Document - http://www.dfinsolutions.com/ - Version R3.0 - on 15-August-2021 [05:50:19] {AM}-->
<schema targetNamespace="http://fly.com/20210630" elementFormDefault="qualified" xmlns:flyw="http://fly.com/20210630" xmlns="http://www.w3.org/2001/XMLSchema" xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xbrli="http://www.xbrl.org/2003/instance" xmlns:xbrldt="http://xbrl.org/2005/xbrldt" xmlns:xl="http://www.xbrl.org/2003/XLink" xmlns:us-gaap="http://fasb.org/us-gaap/2020-01-31" xmlns:country="http://xbrl.sec.gov/country/2020-01-31" xmlns:currency="http://xbrl.sec.gov/currency/2020-01-31" xmlns:dei="http://xbrl.sec.gov/dei/2020-01-31" xmlns:exch="http://xbrl.sec.gov/exch/2020-01-31" xmlns:naics="http://xbrl.sec.gov/naics/2017-01-31" xmlns:sic="http://xbrl.sec.gov/sic/2020-01-31" xmlns:us-types="http://fasb.org/us-types/2020-01-31" xmlns:stpr="http://xbrl.sec.gov/stpr/2018-01-31" xmlns:deprecated="http://www.xbrl.org/2009/arcrole/fact-explanatoryFact" xmlns:nonnum="http://www.xbrl.org/dtr/type/non-numeric" xmlns:num="http://www.xbrl.org/dtr/type/numeric" xmlns:srt="http://fasb.org/srt/2020-01-31" xmlns:srt-types="http://fasb.org/srt-types/2020-01-31">
<annotation>
<appinfo>
<link:roleType roleURI="http://fly.com/role/CoverPage" id="CoverPage">
<link:definition>1001 - Document - Cover Page</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/CondensedConsolidatedBalanceSheets" id="CondensedConsolidatedBalanceSheets">
<link:definition>1002 - Statement - Condensed Consolidated Balance Sheets</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/CondensedConsolidatedBalanceSheetsParenthetical" id="CondensedConsolidatedBalanceSheetsParenthetical">
<link:definition>1003 - Statement - Condensed Consolidated Balance Sheets (Parenthetical)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/CondensedConsolidatedStatementsOfOperationsAndComprehensiveLoss" id="CondensedConsolidatedStatementsOfOperationsAndComprehensiveLoss">
<link:definition>1004 - Statement - Condensed Consolidated Statements of Operations And Comprehensive Loss</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/CondensedStatementsOfConvertiblePreferredStockRedeemableConvertiblePreferredStockAndStockholdersEquityDeficit" id="CondensedStatementsOfConvertiblePreferredStockRedeemableConvertiblePreferredStockAndStockholdersEquityDeficit">
<link:definition>1005 - Statement - Condensed Statements of Convertible Preferred Stock, Redeemable Convertible Preferred Stock and Stockholders' Equity (Deficit)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/CondensedStatementsOfConvertiblePreferredStockRedeemableConvertiblePreferredStockAndStockholdersEquityDeficitParenthetical" id="CondensedStatementsOfConvertiblePreferredStockRedeemableConvertiblePreferredStockAndStockholdersEquityDeficitParenthetical">
<link:definition>1006 - Statement - Condensed Statements of Convertible Preferred Stock, Redeemable Convertible Preferred Stock and Stockholders' Equity (Deficit) (Parenthetical)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/CondensedConsolidatedStatementOfCashFlows" id="CondensedConsolidatedStatementOfCashFlows">
<link:definition>1007 - Statement - Condensed Consolidated Statement of Cash Flows</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/BusinessOverviewAndSummaryOfSignificantAccountingPolicies" id="BusinessOverviewAndSummaryOfSignificantAccountingPolicies">
<link:definition>1008 - Disclosure - Business Overview and Summary of Significant Accounting Policies</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/RevenueAndRecognition" id="RevenueAndRecognition">
<link:definition>1009 - Disclosure - Revenue and Recognition</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/AllowanceForDoubtfulAccounts" id="AllowanceForDoubtfulAccounts">
<link:definition>1010 - Disclosure - Allowance for Doubtful Accounts</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/FairValueMeasurements" id="FairValueMeasurements">
<link:definition>1011 - Disclosure - Fair Value Measurements</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/DerivativeInstruments" id="DerivativeInstruments">
<link:definition>1012 - Disclosure - Derivative Instruments</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/AccruedExpensesAndOtherCurrentLiabilities" id="AccruedExpensesAndOtherCurrentLiabilities">
<link:definition>1013 - Disclosure - Accrued Expenses and Other Current Liabilities</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/PropertyAndEquipmentNet" id="PropertyAndEquipmentNet">
<link:definition>1014 - Disclosure - Property And Equipment, Net</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/BusinessCombinations" id="BusinessCombinations">
<link:definition>1015 - Disclosure - Business Combinations</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/GoodwillAndAcquiredIntangibleAssets" id="GoodwillAndAcquiredIntangibleAssets">
<link:definition>1016 - Disclosure - Goodwill And Acquired Intangible Assets</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/Debt" id="Debt">
<link:definition>1017 - Disclosure - Debt</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/StockholdersDeficitEquity" id="StockholdersDeficitEquity">
<link:definition>1018 - Disclosure - Stockholders' (Deficit) Equity</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/StockBasedCompensation" id="StockBasedCompensation">
<link:definition>1019 - Disclosure - Stock-Based Compensation</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/NetLossPerShare" id="NetLossPerShare">
<link:definition>1020 - Disclosure - Net Loss per Share</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/IncomeTaxes" id="IncomeTaxes">
<link:definition>1021 - Disclosure - Income Taxes</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/CommitmentsAndContingencies" id="CommitmentsAndContingencies">
<link:definition>1022 - Disclosure - Commitments and Contingencies</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/SubsequentEvents" id="SubsequentEvents">
<link:definition>1023 - Disclosure - Subsequent Events</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/BusinessOverviewAndSummaryOfSignificantAccountingPoliciesPolicies" id="BusinessOverviewAndSummaryOfSignificantAccountingPoliciesPolicies">
<link:definition>1024 - Disclosure - Business Overview and Summary of Significant Accounting Policies (Policies)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/BusinessOverviewAndSummaryOfSignificantAccountingPoliciesTables" id="BusinessOverviewAndSummaryOfSignificantAccountingPoliciesTables">
<link:definition>1025 - Disclosure - Business Overview and Summary of Significant Accounting Policies (Tables)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/RevenueAndRecognitionTables" id="RevenueAndRecognitionTables">
<link:definition>1026 - Disclosure - Revenue and Recognition (Tables)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/AllowanceForDoubtfulAccountsTables" id="AllowanceForDoubtfulAccountsTables">
<link:definition>1027 - Disclosure - Allowance for Doubtful Accounts (Tables)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/FairValueMeasurementsTables" id="FairValueMeasurementsTables">
<link:definition>1028 - Disclosure - Fair Value Measurements (Tables)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/AccruedExpensesAndOtherCurrentLiabilitiesTables" id="AccruedExpensesAndOtherCurrentLiabilitiesTables">
<link:definition>1029 - Disclosure - Accrued Expenses and Other Current Liabilities (Tables)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/PropertyAndEquipmentNetTables" id="PropertyAndEquipmentNetTables">
<link:definition>1030 - Disclosure - Property And Equipment, Net (Tables)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/BusinessCombinationsTables" id="BusinessCombinationsTables">
<link:definition>1031 - Disclosure - Business Combinations (Tables)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/GoodwillAndAcquiredIntangibleAssetsTables" id="GoodwillAndAcquiredIntangibleAssetsTables">
<link:definition>1032 - Disclosure - Goodwill And Acquired Intangible Assets (Tables)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/DebtTables" id="DebtTables">
<link:definition>1033 - Disclosure - Debt (Tables)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/StockholdersDeficitEquityTables" id="StockholdersDeficitEquityTables">
<link:definition>1034 - Disclosure - Stockholders' (Deficit) Equity (Tables)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/StockBasedCompensationTables" id="StockBasedCompensationTables">
<link:definition>1035 - Disclosure - Stock-Based Compensation (Tables)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/NetLossPerShareTables" id="NetLossPerShareTables">
<link:definition>1036 - Disclosure - Net Loss Per Share (Tables)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/CommitmentsAndContingenciesTables" id="CommitmentsAndContingenciesTables">
<link:definition>1037 - Disclosure - Commitments and Contingencies (Tables)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/BusinessOverviewAndSummaryOfSignificantAccountingPoliciesAdditionalInformationDetail" id="BusinessOverviewAndSummaryOfSignificantAccountingPoliciesAdditionalInformationDetail">
<link:definition>1038 - Disclosure - Business Overview and Summary of Significant Accounting Policies - Additional Information (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/BusinessOverviewAndSummaryOfSignificantAccountingPoliciesSummaryOfAccountsReceivableAndFundsReceivableDetail" id="BusinessOverviewAndSummaryOfSignificantAccountingPoliciesSummaryOfAccountsReceivableAndFundsReceivableDetail">
<link:definition>1039 - Disclosure - Business Overview and Summary of Significant Accounting Policies - Summary of Accounts Receivable And Funds Receivable (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/RevenueAndRecognitionSummaryOfRevenueFromContractWithCustomersDisaggregatedByGeographicalAreaAndMajorSolutionsDetail" id="RevenueAndRecognitionSummaryOfRevenueFromContractWithCustomersDisaggregatedByGeographicalAreaAndMajorSolutionsDetail">
<link:definition>1040 - Disclosure - Revenue and Recognition - Summary of Revenue From Contract With Customers Disaggregated By Geographical Area And Major Solutions (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/RevenueAndRecognitionSummaryOfAccountsReceivableUnbilledReceivablesAndDeferredRevenueFromContractsWithCustomersDetail" id="RevenueAndRecognitionSummaryOfAccountsReceivableUnbilledReceivablesAndDeferredRevenueFromContractsWithCustomersDetail">
<link:definition>1041 - Disclosure - Revenue and Recognition - Summary of Accounts Receivable, Unbilled Receivables And Deferred Revenue From Contracts With Customers (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/RevenueAndRecognitionAdditionalInformationDetail" id="RevenueAndRecognitionAdditionalInformationDetail">
<link:definition>1042 - Disclosure - Revenue and Recognition - Additional Information  (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/AllowanceForDoubtfulAccountsSummaryOfAllowanceForDoubtfulAccountsDetail" id="AllowanceForDoubtfulAccountsSummaryOfAllowanceForDoubtfulAccountsDetail">
<link:definition>1043 - Disclosure - Allowance For Doubtful Accounts - Summary of Allowance For Doubtful Accounts (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/FairValueMeasurementsScheduleOfFairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisDetail" id="FairValueMeasurementsScheduleOfFairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisDetail">
<link:definition>1044 - Disclosure - Fair Value Measurements - Schedule of Fair Value Assets and Liabilities Measured on Recurring Basis (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/FairValueMeasurementsScheduleOfUnobservableInputsIncorporatedIntoTheValuationOfContingentConsiderationDetail" id="FairValueMeasurementsScheduleOfUnobservableInputsIncorporatedIntoTheValuationOfContingentConsiderationDetail">
<link:definition>1045 - Disclosure - Fair Value Measurements - Schedule of Unobservable Inputs Incorporated into the Valuation of Contingent Consideration (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/FairValueMeasurementsSummaryOfChangesInTheCarryingValueOfTheContingentConsiderationDetail" id="FairValueMeasurementsSummaryOfChangesInTheCarryingValueOfTheContingentConsiderationDetail">
<link:definition>1046 - Disclosure - Fair Value Measurements - Summary of Changes in the Carrying Value of the Contingent Consideration (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/FairValueMeasurementsSummaryOfChangesInTheCarryingValueOfTheContingentConsiderationParentheticalDetail" id="FairValueMeasurementsSummaryOfChangesInTheCarryingValueOfTheContingentConsiderationParentheticalDetail">
<link:definition>1047 - Disclosure - Fair Value Measurements - Summary of Changes in the Carrying Value of the Contingent Consideration (Parenthetical) (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/FairValueMeasurementsAdditionalInformationDetail" id="FairValueMeasurementsAdditionalInformationDetail">
<link:definition>1048 - Disclosure - Fair Value Measurements - Additional Information (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/DerivativeInstrumentsAdditionalInformationDetail" id="DerivativeInstrumentsAdditionalInformationDetail">
<link:definition>1049 - Disclosure - Derivative Instruments - Additional Information (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/AccruedExpensesAndOtherCurrentLiabilitiesScheduleOfAccruedExpensesAndOtherCurrentLiabilitiesDetail" id="AccruedExpensesAndOtherCurrentLiabilitiesScheduleOfAccruedExpensesAndOtherCurrentLiabilitiesDetail">
<link:definition>1050 - Disclosure - Accrued Expenses and Other Current Liabilities - Schedule of Accrued expenses and other current liabilities (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/PropertyAndEquipmentNetScheduleOfPropertyPlantAndEquipmentNetDetail" id="PropertyAndEquipmentNetScheduleOfPropertyPlantAndEquipmentNetDetail">
<link:definition>1051 - Disclosure - Property And Equipment, Net - Schedule of Property Plant and Equipment ,Net (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/PropertyAndEquipmentNetAdditionalInformationDetail" id="PropertyAndEquipmentNetAdditionalInformationDetail">
<link:definition>1052 - Disclosure - Property And Equipment, Net - Additional Information (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/BusinessCombinationsSummaryOfPurchaseConsiderationDetail" id="BusinessCombinationsSummaryOfPurchaseConsiderationDetail">
<link:definition>1053 - Disclosure - Business Combinations - Summary of Purchase Consideration (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/BusinessCombinationsSummaryOfFairValueOfTheAssestsAcquiredAndLiabilitiesAssumedDetail" id="BusinessCombinationsSummaryOfFairValueOfTheAssestsAcquiredAndLiabilitiesAssumedDetail">
<link:definition>1054 - Disclosure - Business Combinations - Summary of Fair Value Of the Assests Acquired and Liabilities Assumed (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/BusinessCombinationsScheduleOfEstimatedFairValueOfTheIdentifiedIntangibleAssetsDetail" id="BusinessCombinationsScheduleOfEstimatedFairValueOfTheIdentifiedIntangibleAssetsDetail">
<link:definition>1055 - Disclosure - Business Combinations - Schedule of Estimated Fair Value of the Identified Intangible Assets (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/BusinessCombinationsSummaryOfUnauditedProFormaFinancialInformationDetail" id="BusinessCombinationsSummaryOfUnauditedProFormaFinancialInformationDetail">
<link:definition>1056 - Disclosure - Business Combinations - Summary of Unaudited Pro Forma Financial Information (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/BusinessCombinationsAdditionalInformationDetail" id="BusinessCombinationsAdditionalInformationDetail">
<link:definition>1057 - Disclosure - Business Combinations - Additional Information (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/GoodwillAndAcquiredIntangibleAssetsSummaryOfChangesInTheCarryingAmountOfGoodwillDetail" id="GoodwillAndAcquiredIntangibleAssetsSummaryOfChangesInTheCarryingAmountOfGoodwillDetail">
<link:definition>1058 - Disclosure - Goodwill And Acquired Intangible Assets - Summary of Changes in the Carrying Amount of Goodwill (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/GoodwillAndAcquiredIntangibleAssetsSummaryOfChangesInTheCarryingAmountOfGoodwillParentheticalDetail" id="GoodwillAndAcquiredIntangibleAssetsSummaryOfChangesInTheCarryingAmountOfGoodwillParentheticalDetail">
<link:definition>1059 - Disclosure - Goodwill And Acquired Intangible Assets - Summary of Changes in the Carrying Amount of Goodwill (Parenthetical) (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/GoodwillAndAcquiredIntangibleAssetsSummaryOfAcquiredIntangibleAssetsSubjectToAmortizationDetail" id="GoodwillAndAcquiredIntangibleAssetsSummaryOfAcquiredIntangibleAssetsSubjectToAmortizationDetail">
<link:definition>1060 - Disclosure - Goodwill And Acquired Intangible Assets - Summary of Acquired Intangible Assets Subject to Amortization (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/GoodwillAndAcquiredIntangibleAssetsSummaryOfAcquiredIntangibleAssetsSubjectToAmortizationParentheticalDetail" id="GoodwillAndAcquiredIntangibleAssetsSummaryOfAcquiredIntangibleAssetsSubjectToAmortizationParentheticalDetail">
<link:definition>1061 - Disclosure - Goodwill And Acquired Intangible Assets - Summary of Acquired Intangible Assets Subject to Amortization (Parenthetical) (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/GoodwillAndAcquiredIntangibleAssetsScheduleOfEstimatedAnnualAmortizationExpenseOfIntangibleAssetsDetail" id="GoodwillAndAcquiredIntangibleAssetsScheduleOfEstimatedAnnualAmortizationExpenseOfIntangibleAssetsDetail">
<link:definition>1062 - Disclosure - Goodwill And Acquired Intangible Assets - Schedule of Estimated Annual Amortization Expense Of Intangible Assets (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/GoodwillAndAcquiredIntangibleAssetsAdditionalInformationDetail" id="GoodwillAndAcquiredIntangibleAssetsAdditionalInformationDetail">
<link:definition>1063 - Disclosure - Goodwill And Acquired Intangible Assets - Additional Information (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/DebtScheduleOfCompanySOutstandingDebtDetail" id="DebtScheduleOfCompanySOutstandingDebtDetail">
<link:definition>1064 - Disclosure - Debt - Schedule of Company's Outstanding Debt (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/DebtScheduleOfDebtInstrumentFuturePrincipalPaymentsDetail" id="DebtScheduleOfDebtInstrumentFuturePrincipalPaymentsDetail">
<link:definition>1065 - Disclosure - Debt - Schedule Of Debt Instrument Future Principal Payments (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/DebtAdditionalInformationDetail" id="DebtAdditionalInformationDetail">
<link:definition>1066 - Disclosure - Debt - Additional Information (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/StockholdersDeficitEquityAdditionalInformationDetail" id="StockholdersDeficitEquityAdditionalInformationDetail">
<link:definition>1067 - Disclosure - Stockholders' (Deficit) Equity - Additional information (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/StockholdersDeficitEquitySummaryOfReservedSharesOfCommonStockDetail" id="StockholdersDeficitEquitySummaryOfReservedSharesOfCommonStockDetail">
<link:definition>1068 - Disclosure - Stockholders' (Deficit) Equity - Summary of Reserved Shares of Common Stock (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/StockBasedCompensationSummaryOfTheStockBasedCompensationExpenseForStockOptionsAndRestrictedStockAwardsGrantedToEmployeesDetail" id="StockBasedCompensationSummaryOfTheStockBasedCompensationExpenseForStockOptionsAndRestrictedStockAwardsGrantedToEmployeesDetail">
<link:definition>1069 - Disclosure - Stock-Based Compensation - Summary Of The Stock Based Compensation Expense For Stock Options And Restricted Stock Awards Granted To Employees (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/StockBasedCompensationAdditionalInformationDetail" id="StockBasedCompensationAdditionalInformationDetail">
<link:definition>1070 - Disclosure - Stock-Based Compensation - Additional Information (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/NetLossPerShareScheduleOfEarningsPerShareBasicAndDilutedAttributableToCommonStockholdersDetail" id="NetLossPerShareScheduleOfEarningsPerShareBasicAndDilutedAttributableToCommonStockholdersDetail">
<link:definition>1071 - Disclosure - Net Loss Per Share - Schedule of Earnings Per Share Basic and Diluted Attributable to Common Stockholders (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/NetLossPerShareScheduleOfAntidilutiveExcludedFromComputationOfEarningsPerShareDetail" id="NetLossPerShareScheduleOfAntidilutiveExcludedFromComputationOfEarningsPerShareDetail">
<link:definition>1072 - Disclosure - Net Loss Per Share - Schedule of Antidilutive Excluded from Computation of Earnings Per Share (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/IncomeTaxesAdditionalInformationDetail" id="IncomeTaxesAdditionalInformationDetail">
<link:definition>1073 - Disclosure - Income Taxes - Additional Information (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/CommitmentsAndContingenciesScheduleOfFutureMinimumLeasePaymentsForNonCancelableOperatingLeasesDetail" id="CommitmentsAndContingenciesScheduleOfFutureMinimumLeasePaymentsForNonCancelableOperatingLeasesDetail">
<link:definition>1074 - Disclosure - Commitments and Contingencies - Schedule of Future Minimum Lease Payments For Non-cancelable Operating Leases (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/CommitmentsAndContingenciesAdditionalInformationDetail" id="CommitmentsAndContingenciesAdditionalInformationDetail">
<link:definition>1075 - Disclosure - Commitments and Contingencies - Additional Information (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://fly.com/role/SubsequentEventsAdditionalInformationDetail" id="SubsequentEventsAdditionalInformationDetail">
<link:definition>1076 - Disclosure - Subsequent Events - Additional Information (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:linkbaseRef xlink:type="simple" xlink:href="flyw-20210630_pre.xml" xlink:role="http://www.xbrl.org/2003/role/presentationLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" />
<link:linkbaseRef xlink:type="simple" xlink:href="flyw-20210630_def.xml" xlink:role="http://www.xbrl.org/2003/role/definitionLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" />
<link:linkbaseRef xlink:type="simple" xlink:href="flyw-20210630_lab.xml" xlink:role="http://www.xbrl.org/2003/role/labelLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" />
<link:linkbaseRef xlink:type="simple" xlink:href="flyw-20210630_cal.xml" xlink:role="http://www.xbrl.org/2003/role/calculationLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" />
</appinfo>
</annotation>
<import namespace="http://www.xbrl.org/2003/instance" schemaLocation="http://www.xbrl.org/2003/xbrl-instance-2003-12-31.xsd" />
<import namespace="http://www.xbrl.org/2003/linkbase" schemaLocation="http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd" />
<import namespace="http://xbrl.org/2005/xbrldt" schemaLocation="http://www.xbrl.org/2005/xbrldt-2005.xsd" />
<import namespace="http://fasb.org/us-gaap/2020-01-31" schemaLocation="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd" />
<import namespace="http://xbrl.sec.gov/country/2020-01-31" schemaLocation="https://xbrl.sec.gov/country/2020/country-2020-01-31.xsd" />
<import namespace="http://xbrl.sec.gov/currency/2020-01-31" schemaLocation="https://xbrl.sec.gov/currency/2020/currency-2020-01-31.xsd" />
<import namespace="http://xbrl.sec.gov/exch/2020-01-31" schemaLocation="https://xbrl.sec.gov/exch/2020/exch-2020-01-31.xsd" />
<import namespace="http://xbrl.sec.gov/naics/2017-01-31" schemaLocation="https://xbrl.sec.gov/naics/2017/naics-2017-01-31.xsd" />
<import namespace="http://xbrl.sec.gov/sic/2020-01-31" schemaLocation="https://xbrl.sec.gov/sic/2020/sic-2020-01-31.xsd" />
<import namespace="http://xbrl.sec.gov/stpr/2018-01-31" schemaLocation="https://xbrl.sec.gov/stpr/2018/stpr-2018-01-31.xsd" />
<import namespace="http://www.xbrl.org/2009/role/negated" schemaLocation="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd" />
<import namespace="http://www.xbrl.org/2009/role/net" schemaLocation="http://www.xbrl.org/lrr/role/net-2009-12-16.xsd" />
<import namespace="http://www.xbrl.org/2009/arcrole/fact-explanatoryFact" schemaLocation="http://www.xbrl.org/lrr/arcrole/factExplanatory-2009-12-16.xsd" />
<import namespace="http://xbrl.sec.gov/dei/2020-01-31" schemaLocation="https://xbrl.sec.gov/dei/2020/dei-2020-01-31.xsd" />
<import namespace="http://www.xbrl.org/dtr/type/numeric" schemaLocation="http://www.xbrl.org/dtr/type/numeric-2009-12-16.xsd" />
<import namespace="http://www.xbrl.org/dtr/type/non-numeric" schemaLocation="http://www.xbrl.org/dtr/type/nonNumeric-2009-12-16.xsd" />
<import namespace="http://fasb.org/us-types/2020-01-31" schemaLocation="http://xbrl.fasb.org/us-gaap/2020/elts/us-types-2020-01-31.xsd" />
<import namespace="http://fasb.org/srt-types/2020-01-31" schemaLocation="http://xbrl.fasb.org/srt/2020/elts/srt-types-2020-01-31.xsd" />
<import namespace="http://fasb.org/srt/2020-01-31" schemaLocation="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd" />
<element name="VotingCommonStockMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_VotingCommonStockMember" substitutionGroup="xbrli:item" />
<element name="AccruedExpensesAndOtherCurrentLiabilities" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="flyw_AccruedExpensesAndOtherCurrentLiabilities" substitutionGroup="xbrli:item" xbrli:balance="credit" />
<element name="CommonStockValueNonVotingRight" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="flyw_CommonStockValueNonVotingRight" substitutionGroup="xbrli:item" xbrli:balance="credit" />
<element name="CommonStockParOrStatedValuePerShareNonVotingRight" type="num:perShareItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="flyw_CommonStockParOrStatedValuePerShareNonVotingRight" substitutionGroup="xbrli:item" />
<element name="CommonStockSharesAuthorizedNonVotingRight" type="xbrli:sharesItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="flyw_CommonStockSharesAuthorizedNonVotingRight" substitutionGroup="xbrli:item" />
<element name="CommonStockSharesIssuedNonVotingRight" type="xbrli:sharesItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="flyw_CommonStockSharesIssuedNonVotingRight" substitutionGroup="xbrli:item" />
<element name="CommonStockSharesOutstandingNonVotingRight" type="xbrli:sharesItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="flyw_CommonStockSharesOutstandingNonVotingRight" substitutionGroup="xbrli:item" />
<element name="ChangeInFairValueOfPreferredStockWarrantLiability" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="flyw_ChangeInFairValueOfPreferredStockWarrantLiability" substitutionGroup="xbrli:item" xbrli:balance="debit" />
<element name="PaymentProcessingServicesCosts" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="flyw_PaymentProcessingServicesCosts" substitutionGroup="xbrli:item" xbrli:balance="debit" />
<element name="ConversionOfRedeemableConvertiblePreferredStockUponInitialPublicOfferingShares" type="xbrli:sharesItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="flyw_ConversionOfRedeemableConvertiblePreferredStockUponInitialPublicOfferingShares" substitutionGroup="xbrli:item" />
<element name="ConversionOfRedeemableConvertiblePreferredStockUponInitialPublicOfferingValue" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="flyw_ConversionOfRedeemableConvertiblePreferredStockUponInitialPublicOfferingValue" substitutionGroup="xbrli:item" xbrli:balance="credit" />
<element name="AccretionOfRedeemableConvertiblePreferredStock" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="flyw_AccretionOfRedeemableConvertiblePreferredStock" substitutionGroup="xbrli:item" xbrli:balance="credit" />
<element name="AdjustmentsToAdditionalPaidInCapitalIssuanceOfCommonStockWarrantsValue" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="flyw_AdjustmentsToAdditionalPaidInCapitalIssuanceOfCommonStockWarrantsValue" substitutionGroup="xbrli:item" xbrli:balance="credit" />
<element name="StockIssuedDuringPeriodValueStockWarrantsExercised" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="flyw_StockIssuedDuringPeriodValueStockWarrantsExercised" substitutionGroup="xbrli:item" xbrli:balance="credit" />
<element name="StockIssuedDuringPeriodSharesStockWarrantsExercised" type="xbrli:sharesItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="flyw_StockIssuedDuringPeriodSharesStockWarrantsExercised" substitutionGroup="xbrli:item" />
<element name="SeriesF1PreferredStockMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_SeriesF1PreferredStockMember" substitutionGroup="xbrli:item" />
<element name="IncreaseDecreaseInContingentConsideration" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="flyw_IncreaseDecreaseInContingentConsideration" substitutionGroup="xbrli:item" xbrli:balance="debit" />
<element name="AmortizationOfDeferredContractCosts" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="flyw_AmortizationOfDeferredContractCosts" substitutionGroup="xbrli:item" xbrli:balance="debit" />
<element name="AssetAcquisitionNetOfCashAcquired" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="flyw_AssetAcquisitionNetOfCashAcquired" substitutionGroup="xbrli:item" xbrli:balance="credit" />
<element name="OfferingCosts" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="flyw_OfferingCosts" substitutionGroup="xbrli:item" xbrli:balance="debit" />
<element name="WarrantsIssued" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="flyw_WarrantsIssued" substitutionGroup="xbrli:item" xbrli:balance="credit" />
<element name="ConversionOfPreferredStockWarrantsToCommonStockWarrantsMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_ConversionOfPreferredStockWarrantsToCommonStockWarrantsMember" substitutionGroup="xbrli:item" />
<element name="ConversionOfConvertiblePreferredStockToCommonStockMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_ConversionOfConvertiblePreferredStockToCommonStockMember" substitutionGroup="xbrli:item" />
<element name="ConversionOfRedeemableConvertiblePreferredStockToCommonStockMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_ConversionOfRedeemableConvertiblePreferredStockToCommonStockMember" substitutionGroup="xbrli:item" />
<element name="RestrictedCashMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_RestrictedCashMember" substitutionGroup="xbrli:item" />
<element name="InitialPublicOfferingPolicyTextBlock" type="nonnum:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="flyw_InitialPublicOfferingPolicyTextBlock" substitutionGroup="xbrli:item" />
<element name="StockSplitPolicyTextBlock" type="nonnum:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="flyw_StockSplitPolicyTextBlock" substitutionGroup="xbrli:item" />
<element name="DeferredOfferingCostsPolicyTextBlock" type="nonnum:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="flyw_DeferredOfferingCostsPolicyTextBlock" substitutionGroup="xbrli:item" />
<element name="EmergingGrowthCompanyStatusPolicyTextBlock" type="nonnum:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="flyw_EmergingGrowthCompanyStatusPolicyTextBlock" substitutionGroup="xbrli:item" />
<element name="ImpactOfCovid19PolicyTextBlock" type="nonnum:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="flyw_ImpactOfCovid19PolicyTextBlock" substitutionGroup="xbrli:item" />
<element name="ScheduleOfAccruedExpensesAndOtherCurrentLiabilitiesTableTextBlock" type="nonnum:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="flyw_ScheduleOfAccruedExpensesAndOtherCurrentLiabilitiesTableTextBlock" substitutionGroup="xbrli:item" />
<element name="ScheduleOfDebtInstrumentFuturePrincipalPaymentsTableTextBlock" type="nonnum:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="flyw_ScheduleOfDebtInstrumentFuturePrincipalPaymentsTableTextBlock" substitutionGroup="xbrli:item" />
<element name="ScheduleOfCommonStockReservedFutureIssuancetableTextBlock" type="nonnum:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="flyw_ScheduleOfCommonStockReservedFutureIssuancetableTextBlock" substitutionGroup="xbrli:item" />
<element name="OtherOfferingCosts" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="flyw_OtherOfferingCosts" substitutionGroup="xbrli:item" xbrli:balance="debit" />
<element name="UnderwritingDiscount" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="flyw_UnderwritingDiscount" substitutionGroup="xbrli:item" xbrli:balance="debit" />
<element name="AdjustmentsToAdditionalPaidInCapitalReclassificationOfWarrantLiabilities" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="flyw_AdjustmentsToAdditionalPaidInCapitalReclassificationOfWarrantLiabilities" substitutionGroup="xbrli:item" xbrli:balance="credit" />
<element name="PreferredStockWarrantsConversionToCommonStockWarrants" type="xbrli:sharesItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="flyw_PreferredStockWarrantsConversionToCommonStockWarrants" substitutionGroup="xbrli:item" />
<element name="PercentageOfRevenueFromCustomers" type="num:percentItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="flyw_PercentageOfRevenueFromCustomers" substitutionGroup="xbrli:item" />
<element name="AccruedExpensesAndOtherCurrentLiabilitiesMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_AccruedExpensesAndOtherCurrentLiabilitiesMember" substitutionGroup="xbrli:item" />
<element name="ScheduleOfFundsReceivableFromPaymentPartnersConsistPrimarilyOfCashHeldTable" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_ScheduleOfFundsReceivableFromPaymentPartnersConsistPrimarilyOfCashHeldTable" substitutionGroup="xbrldt:hypercubeItem" />
<element name="ScheduleOfFundsReceivableFromPaymentPartnersConsistPrimarilyOfCashHeldLineItems" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_ScheduleOfFundsReceivableFromPaymentPartnersConsistPrimarilyOfCashHeldLineItems" substitutionGroup="xbrli:item" />
<element name="ClientBMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_ClientBMember" substitutionGroup="xbrli:item" />
<element name="ClientAMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_ClientAMember" substitutionGroup="xbrli:item" />
<element name="FundsReceivableMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_FundsReceivableMember" substitutionGroup="xbrli:item" />
<element name="PaymentsPartnerByTypeAxis" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_PaymentsPartnerByTypeAxis" substitutionGroup="xbrldt:dimensionItem" />
<element name="PaymentsPartnerByTypeDomain" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_PaymentsPartnerByTypeDomain" substitutionGroup="xbrli:item" />
<element name="PartnerAMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_PartnerAMember" substitutionGroup="xbrli:item" />
<element name="PartnerBMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_PartnerBMember" substitutionGroup="xbrli:item" />
<element name="PartnerCMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_PartnerCMember" substitutionGroup="xbrli:item" />
<element name="PartnerDMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_PartnerDMember" substitutionGroup="xbrli:item" />
<element name="TransactionsMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_TransactionsMember" substitutionGroup="xbrli:item" />
<element name="PlatformAndUsageBasedFeesMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_PlatformAndUsageBasedFeesMember" substitutionGroup="xbrli:item" />
<element name="OtherCountriesMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_OtherCountriesMember" substitutionGroup="xbrli:item" />
<element name="ContingentConsiderationFairValue" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="flyw_ContingentConsiderationFairValue" substitutionGroup="xbrli:item" xbrli:balance="credit" />
<element name="MeasurementInputProbabilityOfSuccessfulAchievementMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_MeasurementInputProbabilityOfSuccessfulAchievementMember" substitutionGroup="xbrli:item" />
<element name="MeasurementInputPerformancePeriodMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_MeasurementInputPerformancePeriodMember" substitutionGroup="xbrli:item" />
<element name="BusinessCombinationContingentConsiderationArrangementsChangeInContingentConsiderationLiabilityFairValueAbstract" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_BusinessCombinationContingentConsiderationArrangementsChangeInContingentConsiderationLiabilityFairValueAbstract" substitutionGroup="xbrli:item" />
<element name="ContingentConsiderationMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_ContingentConsiderationMember" substitutionGroup="xbrli:item" />
<element name="BusinessCombinationChangeInContingentConsiderationLiabilityfairValuePurchaseAccountingAdjustmentsClassifiedAsOperatingCashFlows" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="flyw_BusinessCombinationChangeInContingentConsiderationLiabilityfairValuePurchaseAccountingAdjustmentsClassifiedAsOperatingCashFlows" substitutionGroup="xbrli:item" xbrli:balance="debit" />
<element name="FairValueDisclosuresTable" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_FairValueDisclosuresTable" substitutionGroup="xbrldt:hypercubeItem" />
<element name="FairValueDisclosureslineItemsLineItems" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_FairValueDisclosureslineItemsLineItems" substitutionGroup="xbrli:item" />
<element name="SeriesCConvertiblePreferredStockMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_SeriesCConvertiblePreferredStockMember" substitutionGroup="xbrli:item" />
<element name="DerivativeInstrumentsAndHedgingActivitiesDisclosureTable" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_DerivativeInstrumentsAndHedgingActivitiesDisclosureTable" substitutionGroup="xbrldt:hypercubeItem" />
<element name="DerivativeInstrumentsAndHedgingActivitiesDisclosureLineItems" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_DerivativeInstrumentsAndHedgingActivitiesDisclosureLineItems" substitutionGroup="xbrli:item" />
<element name="AccruedVendorLiabilities" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="flyw_AccruedVendorLiabilities" substitutionGroup="xbrli:item" xbrli:balance="credit" />
<element name="PropertyAndEquipmentMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_PropertyAndEquipmentMember" substitutionGroup="xbrli:item" />
<element name="SimplificareIncMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_SimplificareIncMember" substitutionGroup="xbrli:item" />
<element name="BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesAccruedExpensesAndOtherLiabilities" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="flyw_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesAccruedExpensesAndOtherLiabilities" substitutionGroup="xbrli:item" xbrli:balance="credit" />
<element name="RevenueAndIntegrationTargetsMilestoneMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_RevenueAndIntegrationTargetsMilestoneMember" substitutionGroup="xbrli:item" />
<element name="ContinuingEmploymentOfKeyEmployeesMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_ContinuingEmploymentOfKeyEmployeesMember" substitutionGroup="xbrli:item" />
<element name="FiniteLivedIntangibleAssetsAmortizationExpenseAfterYearFour" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="flyw_FiniteLivedIntangibleAssetsAmortizationExpenseAfterYearFour" substitutionGroup="xbrli:item" xbrli:balance="debit" />
<element name="ScheduleOfDebtInstrumentFuturePrincipalPaymentsTable" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_ScheduleOfDebtInstrumentFuturePrincipalPaymentsTable" substitutionGroup="xbrldt:hypercubeItem" />
<element name="ScheduleOfDebtInstrumentFuturePrincipalPaymentsLineItems" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_ScheduleOfDebtInstrumentFuturePrincipalPaymentsLineItems" substitutionGroup="xbrli:item" />
<element name="DebtInstrumentTrancheAxis" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_DebtInstrumentTrancheAxis" substitutionGroup="xbrldt:dimensionItem" />
<element name="DebtInstrumentTrancheDomain" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_DebtInstrumentTrancheDomain" substitutionGroup="xbrli:item" />
<element name="TermLoanMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_TermLoanMember" substitutionGroup="xbrli:item" />
<element name="JoinderAndSecondAmendmentToLoanAndSecurityAgreementMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_JoinderAndSecondAmendmentToLoanAndSecurityAgreementMember" substitutionGroup="xbrli:item" />
<element name="LoanAndSecurityAgreementMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_LoanAndSecurityAgreementMember" substitutionGroup="xbrli:item" />
<element name="DebtInstrumentRefinancedAmount" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="flyw_DebtInstrumentRefinancedAmount" substitutionGroup="xbrli:item" xbrli:balance="debit" />
<element name="TwoThousandNinePlanMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_TwoThousandNinePlanMember" substitutionGroup="xbrli:item" />
<element name="TwoThousandAndEighteenPlanMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_TwoThousandAndEighteenPlanMember" substitutionGroup="xbrli:item" />
<element name="TwoThousandAndTwentyPlanMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_TwoThousandAndTwentyPlanMember" substitutionGroup="xbrli:item" />
<element name="TwoThousandAndTwentyOneEquityIncentivePlanMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_TwoThousandAndTwentyOneEquityIncentivePlanMember" substitutionGroup="xbrli:item" />
<element name="DenominatorAbstract" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_DenominatorAbstract" substitutionGroup="xbrli:item" />
<element name="NetIncomeLossAvailableToCommonStockholdersBasicAndDiluted" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="flyw_NetIncomeLossAvailableToCommonStockholdersBasicAndDiluted" substitutionGroup="xbrli:item" xbrli:balance="credit" />
<element name="WarrantsForThePurchaseOfConvertiblePreferredStockMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_WarrantsForThePurchaseOfConvertiblePreferredStockMember" substitutionGroup="xbrli:item" />
<element name="ProvisionForIncomeTaxAxis" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_ProvisionForIncomeTaxAxis" substitutionGroup="xbrldt:dimensionItem" />
<element name="ProvisionForIncomeTaxDomain" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_ProvisionForIncomeTaxDomain" substitutionGroup="xbrli:item" />
<element name="ProvisionForIncomeTaxMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_ProvisionForIncomeTaxMember" substitutionGroup="xbrli:item" />
<element name="CommitmentsAndContingenciesDisclosureTable" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_CommitmentsAndContingenciesDisclosureTable" substitutionGroup="xbrldt:hypercubeItem" />
<element name="CommitmentsAndContingenciesDisclosureLineItems" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="flyw_CommitmentsAndContingenciesDisclosureLineItems" substitutionGroup="xbrli:item" />
<element name="LesseeOperatingLeaseCommenceDate" type="xbrli:dateItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="flyw_LesseeOperatingLeaseCommenceDate" substitutionGroup="xbrli:item" />
<element name="LesseeOperatingLeaseExtensionCommenceDate" type="xbrli:dateItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="flyw_LesseeOperatingLeaseExtensionCommenceDate" substitutionGroup="xbrli:item" />
</schema>
