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'.
(..) - Yes, that will be all, Miss Potts. I'm sorry, Mr. Stark, but do you honestly expect us to believe that that was a bodyguard in a suit that conveniently appeared, - despite the fact that you... - I never said you were a superhero. - - Just stick to the cards, man. Yeah, okay. Yeah. (..)2008 Iron Man