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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2017-10-12</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001348911</issuerCik>
        <issuerName>KalVista Pharmaceuticals, Inc.</issuerName>
        <issuerTradingSymbol>KALV</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001185039</rptOwnerCik>
            <rptOwnerName>ALDRICH RICHARD</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O LONGWOOD CAPITAL</rptOwnerStreet1>
            <rptOwnerStreet2>PRUDENTIAL TOWER, 800 BOYLSTON STREET, S</rptOwnerStreet2>
            <rptOwnerCity>BOSTON</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02199</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2017-10-12</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>565065</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>8.6131</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>934484</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">The reportable securities are owned directly by Longwood Fund II, LP, a Delaware limited partnership (&quot;Longwood II&quot;).  Longwood Fund II GP, LLC, a Delaware limited liability company (&quot;Longwood II GP&quot;), is the general partner of Longwood II and exercises voting and investment power with respect to the securities owned directly by Longwood II.  Longwood II's investment adviser is Longwood Fund Management, LLC (&quot;Longwood Management&quot;).  Each of the Reporting Person, who is a member of the Issuer's board of directors, and Christoph Westphal, M.D., Ph.D. (&quot;Westphal&quot;) are the Managers (and are members) of Longwood II GP and may be deemed to share voting and investment power with respect to the securities owned by Longwood II.</footnote>
        <footnote id="F2">(Continue from footnote 1) Each of the Reporting Person, Westphal, Longwood II GP and Longwood Management disclaims beneficial ownership of the shares held by Longwood II and this report shall not be deemed an admission that any of them is the beneficial owner of such securities for purposes of Section 16 or any other purpose, except to the extent of their respective pecuniary interests therein.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Richard Aldrich</signatureName>
        <signatureDate>2017-10-19</signatureDate>
    </ownerSignature>
</ownershipDocument>
