We'll have to investigate this further. We've never heard of this issue before, and haven't heard of other users mention it as a problem. Searching through our forums, there are mentions of other users with the Falang plugin, but no one has mentioned problems with JFBConnect and Falang working together.
Have you tried contacting Foobla to see if they are aware of any issues? We will look into this, but it will take us a while to determine what could be going wrong and if it's even possible for us to fix on our end.
Thanks,
Alex