At WrestleMania IV, he participated in a 14-man tournament for the vacant WWE World Heavyweight Championship, where he lost to Ted DiBiase in the first round after interference from André the Giant. Shortly after WrestleMania IV, Duggan—upset that André cost him his match—came to the ring during one of André's matches and challenged him; a feud erupted when André suddenly grabbed Duggan and began throttling him, before Duggan knocked André out with his 2x4 board. André generally came out the winner in their matches, usually by interference from André's manager Bobby Heenan. André also interfered in several of Duggan's matches against other wrestlers, including Hercules on the April 30 "Saturday Night's Main Event XVI".