InfoPath Dev

I have published a browser enabled InfoPath 2010 form to SharePoint and have setup a bunch of rules, but I can't seem to find a way to set these rules to run when the from is saved, not when the form opens. Is there a way to set the rules to run when the form is saved\closed?

InfoPath doesn't have a Form Closed rule action.  Your best bet is to disable the default save functionality, and add your own button that carries out the save/submit functionality, does any other rules you want to execute, and then closes the form when necessary.