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

    <schemaVersion>X0206</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2022-05-09</periodOfReport>

    <noSecuritiesOwned>1</noSecuritiesOwned>

    <issuer>
        <issuerCik>0001852889</issuerCik>
        <issuerName>Investcorp India Acquisition Corp</issuerName>
        <issuerTradingSymbol>IVCA</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001919644</rptOwnerCik>
            <rptOwnerName>Kapoor Rishi</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>CENTURY YARD, CRICKET SQUARE</rptOwnerStreet1>
            <rptOwnerStreet2>ELGIN AVENUE PO BOX 1111 GEORGE TOWN</rptOwnerStreet2>
            <rptOwnerCity>GRAND CAYMAN</rptOwnerCity>
            <rptOwnerState>E9</rptOwnerState>
            <rptOwnerZipCode>KY1-1102</rptOwnerZipCode>
            <rptOwnerStateDescription>CAYMAN ISLANDS</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <footnotes></footnotes>

    <remarks>Exhibit List:  Exhibit 24 - Power of Attorney</remarks>

    <ownerSignature>
        <signatureName>/s/ Mike Blankenship, as attorney-in-fact</signatureName>
        <signatureDate>2022-05-09</signatureDate>
    </ownerSignature>
</ownershipDocument>
