Tigers win 50-40
The duo dropped just one-point between them... when Wilson missed out to ex-Tiger Ross Brady in his second outing.
Edinburgh held a shock 37-35 lead after 12 races in a meeting which was delayed by 20-minutes to allow extra track work after torrential rain in the city.
Compton and Wilson - who was handed a second chance after jumping at the start - put Tigers back in front with a 5-1 in Heat 13.
Impressive Edinburgh reserve Robert Kseizak crashed heavily in the penultimate race and in the re-run Tigers duo Ricky Ashworth and Paul Cooper gained another big 5-1 which put the match beyond Edinburgh's reach.
Wilson and Compton combined again in Heat 15 with a superb display of team riding to give the scoreline a more emphatic appearance.
TIGERS. Andre Compton 15, Sean Wilson 12+2, Ricky Ashworth 9+1, Paul Cooper 6, Richard Hall 3+2, Ben Wilson 3+1, Kyle Legault 2+1.
EDINBURGH: Rusty Harrison 10, Ross Brady 9, Theo Pijper 7+1, Robert Ksiezak 6+2, Daniel Nermark 3+1, William Lawson 3, Cameron Woodward 2+1.
Next action at home to Glasgow Thursday 7th April, 2.45 est(7.45 gmt)