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'.
(..) Logical, but unnecessary. You are hereby accepted to the Vulcan Science Academy. It is truly remarkable Spock that you have achieved so much... despite your disadvantage. All rise. If you would clarify, minister? To what disadvantage are you referring? Your Human mother. (..)2009 Star Trek