Currently, we only support an auto login feature for Facebook when the 'Auto Login Facebook Users' configuration setting is enabled. If the user logs out or is logged out of the page, there is a timeout period when JFBConnect will not attempt to log back in. After this period ends and the user returns to the site, JFBConnect will automatically log them back into the site.
Some social networks don't support this, but we have plans in a future release to add the functionality to the ones that do, in addition to just JFBConnect.
-Melissa