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'.
(..) that's just great, coming from somebody who coldclocked the suspect. Well, uh, an action which I regret, despite the enjoyment I felt in the moment. All I'm saying is, no matter what, the judge is probably gonna go easier on her (..)2016 TvShow: Bones Title: The Murder of the Meninist Season: 11 Episode 12