<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4/A</documentType>

    <periodOfReport>2017-09-01</periodOfReport>

    <dateOfOriginalSubmission>2017-09-01</dateOfOriginalSubmission>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001207074</issuerCik>
        <issuerName>VIRTUSA CORP</issuerName>
        <issuerTradingSymbol>VRTU</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001520547</rptOwnerCik>
            <rptOwnerName>Dhir Samir</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O VIRTUSA CORPORATION</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>WESTBOROUGH</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>01581</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>President</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2017-09-01</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>F</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>1203</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>36.14</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>81666</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">On 11/14/16, the reporting person was granted performance-based restricted stock units based on revised financial guidance for fiscal year ending 3/31/2017 (&quot;FY17&quot;) under the Company's 2015 Stock Option and Incentive Plan, which awards vest only upon the Company's achievement of two critical performance metrics based on a nine month performance period beginning 7/1/2016 and ending 3/31/2017: revenue (70%) and Non-GAAP operating income (30%). Based on the Company's achievement of revenue of $653.2 million and Non-GAAP operating income of $48 million (for the nine-month period ending 3/31/17), 46.2% of the target shares were earned, of which 50% vest on 9/1/2017 and 50% vest on 3/1/2019, based on continued service of the reporting person. On 9/1/17 the company withheld the number of shares listed above equal to the reporting person's tax liability thereon.</footnote>
    </footnotes>

    <remarks>The purpose of this amendment is to correct an error in Column 4 of Table I. The Form 4, as originally filed, incorrectly reported the securities as acquired in Table I, Column 4.</remarks>

    <ownerSignature>
        <signatureName>/s/Paul D. Tutun, Attorney in Fact</signatureName>
        <signatureDate>2017-09-06</signatureDate>
    </ownerSignature>
</ownershipDocument>
