Vitaly Janelt had blasted the Bees in front against the run of play midway through the first half.
Fulham were frustrated until added time when substitute Wilson flicked home the equaliser and then head in a winner at the death.
"It was an amazing feeling to come on and get the two goals to win the game. We deserved it, we kept them pinned in throughout," said Wilson.
Victory lifts Marco Silva's men up to ninth and just three points off the top four.
Brentford had been headed for the top half themselves until the late turnaround... Читать дальше...