SSO inside the APM?

Hello all, Recently I have configured the single sign-on (both with "Basic HTTP Auth" and "Form based") for a remote webserver. This works fine to me. Now, I want to do the same, but with a HTML file that is inside the APM (hosted content). This html file runs an applet, and I want to pass the session variables (session.sso.token.last.username, session.sso.token.last.password) to the applet, so I would need to read these variables directly or "simulate" the SSO (but this is, of course, not possible inside the APM as not Basic Authentication or form submission is available). Is there any API/ajax callback functions or something similar for reading these variables? Is there any known workaround for this? The remote desktops configurable on the Big IP can configure autologon using session.logon.last.username and session.logon.last.password. Can this be somehow used? I know this is a weird case, any suggestions will be highly appreciated.