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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2016-03-21</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001620546</issuerCik>
        <issuerName>Baxalta Inc</issuerName>
        <issuerTradingSymbol>BXLT</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000010456</rptOwnerCik>
            <rptOwnerName>BAXTER INTERNATIONAL INC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>ONE BAXTER PARKWAY</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>DEERFIELD</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60015</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock, par value $0.01 per share</value>
            </securityTitle>
            <transactionDate>
                <value>2016-03-21</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>63823582</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>30506097</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Pursuant to an Exchange Agreement (the &quot;Agreement&quot;), dated as of March 16, 2016, by and among the reporting person and Merrill Lynch, Pierce, Fenner &amp; Smith Incorporated (&quot;Merrill Lynch&quot;), Credit Suisse Securities (USA) LLC (&quot;Credit Suisse&quot;), J.P. Morgan Securities LLC (&quot;J.P. Morgan&quot;) and UBS Securities LLC (&quot;UBS&quot; and, together with Merrill Lynch, Credit Suisse and J.P. Morgan, the &quot;Investment Entities&quot;), the reporting person exchanged 63,823,582 shares of the issuer's common stock to the Investment Entities for certain indebtedness of the reporting person then owned by the Investment Entities (the &quot;Exchange&quot;).</footnote>
        <footnote id="F2">The Agreement placed a value on the issuer's common stock for purposes of the Exchange of $37.75 per share.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ David P. Scharf, Corporate Vice President, General Counsel and Corporate Secretary of Baxter International Inc.</signatureName>
        <signatureDate>2016-03-23</signatureDate>
    </ownerSignature>
</ownershipDocument>
