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'.
(..) # Time # ...You guys remember the sheik. ...Yeah. Well, he proposed to me, and I think I loved him, despite his billions. Then why didn't you say "yes"? Because I hesitated long enough to realize my head and my heart were saying (..)2002 Sweet Home Alabama