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'.
(..) There are places for 'unwanted' babies like these, Queenie. No room for another mouth to feed here. The Nolan Foundation, despite their good intentions, thinks this place is a large nuisance as it is. A baby... You said he don't have long. Queenie, some creatures aren't meant to survive. (..)2008 The Curious Case of Benjamin Button