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'.
(..) everything. They fought all the time. - Don't kick me! - Don't push me. And they challenged each other every day. But despite their differences, they had one important thing in common. They were crazy about each other. (..)2004 The Notebook