They are not getting married, 'despite' rumors to the contrary. [=even though there have been rumors saying they are getting married]
The law has yet to be passed, 'despite the fact that' most people are in favor of it.
They grew to love each other, almost 'despite themselves'.
(..) Well, for the record, Superdad, I'm not hiding with you. I'm hiding out with that big guy. Sensei, with your fate unknown, Bumblebee has held command, despite his complete and total lack of anything resembling warrior discipline. He's like a child. This child is about to kick your ass. (..)2014 Transformers: Age of Extinction