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'.
(..) ...I shall not now feel ashamed. Éowyn. Release us. Bad idea. Very handy in a tight spot, these lads, despite the fact they're dead. You gave us your word. I hold your oath fulfilled. Go. Be at peace. Merry. (..)2003 The Lord of the Rings: The Return of the King