Tool to record, script and replay an HTTPS web session?

Is there an Open Source (or low cost) tool to record, script and replay a web browser session that includes the HTTPS session?

I have a JEE web application that is called after an authentication to a remote server and I want to capture the session state and redirect to my localhost instance of the web application for unit testing and degugging line by line.

I tried MAXQ and it doesn't handle HTTPS. I tried Solex and it refuses to install correctly on a recent version of Eclipse.

Thanks!