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'.
(..) with your men that afternoon. - Yes, I did. - What did you guys talk about? I told the men that we had an informer among us... and that despite any desire they might have to seek retribution... Private Santiago was not to be harmed in anyway. - What time was that meeting? That's . (..)1992 A Few Good Men