Brighton took the lead in the first half through Aaron Connolly but a header from Romain Saiss and an own goal from Dan Burn gave Wolves the advantage.
It got worse for Burn and Brighton soon after as Burn clattered into Adama Traore in the box and Neves converted from the spot.
Albion were handed a lifeline just after the break as Joao Moutinio fouled Maupay in the box and the Albion striker confidently fired home the penalty.
Skipper Lewis Dunk gained a crucial point for the home team with a 70th minute header.
Scroll down and click through to see how the Albion players rated.
Albion were handed a lifeline just after the break as Joao Moutinio fouled Maupay in the box and the Albion striker confidently fired home the penalty.