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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2015-08-11</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001646966</rptOwnerCik>
            <rptOwnerName>LEONARDI JACOPO</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O BAXALTA INCORPORATED</rptOwnerStreet1>
            <rptOwnerStreet2>ONE BAXTER PARKWAY</rptOwnerStreet2>
            <rptOwnerCity>DEERFIELD</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60015</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>EVP and President, Immunology</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock, par value $0.01 per share</value>
            </securityTitle>
            <transactionDate>
                <value>2015-08-11</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
                <footnoteId id="F2"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>44</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>27921</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock, par value $0.01 per share</value>
            </securityTitle>
            <transactionDate>
                <value>2015-08-11</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F3"/>
                <footnoteId id="F4"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>56</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>27977</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock, par value $0.01 per share</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1091</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By 401(k) Plan</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Represents shares earned from the performance share unit award granted on March 5, 2013 pursuant to the Equity Plan adopted by Baxter International Inc. (&quot;Baxter&quot;) as of such date. The award provides that fifty percent of the performance share units are earned based on Baxter's Return on Invested Capital (ROIC) performance annually over a three-year period with one-third of the ROIC performance share units allocated to each one-year period. (Continue in Footnote 2)</footnote>
        <footnote id="F2">In connection with the spin-off of Baxalta Incorporated (&quot;Baxalta&quot;) from Baxter, the 2015 performance period was adjusted so that the vesting of the third one-third of the ROIC performance share units allocated to that year will vest based upon a percentage determined by adding (i) the percentage determined by the extent to which Baxter, prior to giving effect to the spin-off, achieves the ROIC performance target for the first six months of 2015, plus (ii) in the case of the reporting person, the percentage determined by the extent to which Baxalta, after giving effect to the spin-off, achieves its ROIC performance targets for the last six months of 2015, and dividing such sum by two.  The number of shares reported represents the shares earned based on Baxter's ROIC during the performance period of January 1, 2015 to June 30, 2015. These shares vest after the end of the relevant three-year ROIC performance period.</footnote>
        <footnote id="F3">Represents shares earned from the performance share unit award granted on March 4, 2014 pursuant to the Equity Plan adopted by Baxter as of such date. The award provides that fifty percent of the performance share units are earned based on Baxter's Return on Invested Capital (ROIC) performance annually over a three-year period with one-third of the ROIC performance share units allocated to each one-year period. (Continue in Footnote 4)</footnote>
        <footnote id="F4">In connection with the spin-off of Baxalta from Baxter, the 2015 performance period was adjusted so that the vesting of the second one-third of the ROIC performance share units allocated to that year will vest based upon a percentage determined by adding (i) the percentage determined by the extent to which Baxter, prior to giving effect to the spin-off, achieves the ROIC performance target for the first six months of 2015, plus (ii) in the case of the reporting person, the percentage determined by the extent to which Baxalta, after giving effect to the spin-off, achieves its ROIC performance targets for the last six months of 2015, and dividing such sum by two.  The number of shares reported represents the shares earned based on Baxter's ROIC during the performance period of January 1, 2015 to June 30, 2015. These shares vest after the end of the relevant three-year ROIC performance period.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Stephanie D. Miller, as attorney-in-fact for Jacopo Leonardi</signatureName>
        <signatureDate>2015-08-13</signatureDate>
    </ownerSignature>
</ownershipDocument>
