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'.
(..) Once. (Song: I've got a dream) *I'm malicious mean and scary.* *And violence-wise my hands are not the cleanest.* *But despite my evil look, and my temper and my hook.* *I've always yearned to be a concert pianist.* *Can't cha see me on the stage performing Mozart.* (..)2010 Tangled