<cffunction
        name            = "yourRemoteFunction"
        returntype      = "any"
        returnformat    = "json"
        output          = "true"
        access          = "remote"
        >

        <cfargument name="SomeParam"    required="false"    type="string" />

        <cfset Local.Response = Application.YourInstantiatedCFC.yourLocalFunction(
                SomeParam   = Arguments.SomeParam
        ) />

        <cfreturn Local.Response />
    </cffunction>