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 must pass the test. Half the stuff on here costs more than my rent. My treat. For a job well done... despite some enormous challenges. Yeah, it would be a lot easier if Homeland Security wasn't breathing down my neck. Well, just don't let them become a distraction. (..)2011 TvShow: Dexter Title: Talk to the Hand Season: 6 Episode 11