Danny Ings' late goal gave Villa a point and denied Wolves a victory in the derby.
Daniel Podence's delightful first-half strike was cancelled out by Ings as he lifted the ball past Jose Sa after his run behind the defence was picked out.
Podence ensured the visitors capitalised on their plan as the Portuguese forward weaved past Douglas Luiz before curling a 12th-minute opener into the net.
Making his first appearance since lifting the World Cup with Argentina last month, Golden Glove winner Martinez was called upon to deny the visitors at close range as the visitors continued to offer the greater threat.
Max Kilman headed Ludwig Augustinsson's shot off the line before Ings tied the game.
Leon Bailey had to be consoled by his team-mates at the end of the game after he missed a late chance, shooting wide from an angle.
One point from safety, Wolves and Villa are both in the bottom half of the table.
There's more to come.