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'.
(..) We were both summoned to Oa for training. You mistook me for someone from your world. - From Korugar. - Yes. ABIN SUR: But despite your mistake, we became friends. Together, we saved your world from civil war... ...and today, mine from Atrocitus. Our meeting was destiny. (..)2011 Green Lantern: Emerald Knights