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'.
(..) From the hospital came reports of victims suffering fractures of ribs, heads, arms and legs. And Negro leader John Lewis, despite injury from a possible skull fracture, led the marchers back to the chapel after the encounter with officers. Help! Help! (..)2014 Selma
(..) who gave civilization to the world. People who survived the hulls of slave ships across vast oceans. People who innovate and create and love despite pressures and tortures unimaginable. They are in our bloodstream. Pumping our hearts every second. They've prepared you. You are already prepared. (..)2014 Selma