>I have a web app. that has the following structure:
>html forms are submitted into same asp page that creates an object from the VFP exe module for all the data processing.
>Here is an asp page:
>

><SCRIPT LANGUAGE="JavaScript" RUNAT="Server">
>var oComObj = new ActiveXObject('webconnector.connector');
>oComObj.minitiate(Server, Request, Response, Session);
>oComObj.mDispetch('scanmonitor', 'frmscanmonitor');
></SCRIPT>
>

>Is it possible to keep VFP exe runnning after the http request has been processed?

Try to play with ON SHUTDOWN handler.
For example:

ON SHUTDOWN DO ShutdownHandler

PROCEDURE ShutdownHandler
  ON SHUTDOWN QUIT
ENDPROC 

This way first application shutdown attempt (when client is disconnected) is blocked and application still run. But second attempt to shutdown must be unblocked to allow manual shutdown.