Anaheim, Calif. ? Nothing gets to goalie Jean-Sebastien Giguere and the Anaheim Mighty Ducks in overtime — not the pressure, not the moment and certainly not the New Jersey Devils.

Steve Thomas put in Samuel Pahlsson’s rebound 39 seconds into overtime, giving Anaheim a dramatic 1-0 victory Monday over New Jersey and evening the Stanley Cup finals at two games each.

The Mighty Ducks played so dismally in the first two games in New Jersey — losing both by shutout — that they seemed destined to be swept. Now, they and their never-get-rattled goalie are firmly back on their game. And most of all, that game is overtime.

The goal by the 39-year-old Thomas, a late-season pickup by the Ducks, made Anaheim 7-0 in playoff overtimes, including both finals games on their home ice. Ruslan Salei got the winner in Game 3 Saturday. Of Anaheim’s 14 playoff victories, 10 have come in overtime or the final five minutes of the third period.

“They’re a hot team in overtime; they’re a confident team in overtime, and we tried to change that invincible thing for them,” Devils coach Pat Burns said. “We missed a chance to win it (by Jeff Friesen), and the game could have been over before he (Thomas) scored. That’s often the way it happens. You miss a chance, and the (other) team comes back and haunts you.”

Thomas’ goal came after Devils goalie Martin Brodeur, losing his personal duel with Giguere, initially stopped Pahlsson’s shot to the left of the net. But the puck deflected out to the right circle, where Thomas cleanly put it past Brodeur.

“I thought their D-man was going to get to it,” Thomas said. “I just went to the net, and it came right to me, and I shot it. … When you have an opportunity to score an overtime goal like that, that’s the ultimate.”

Guaranteeing that the finals will come back to the Pond for Game 6 Saturday, Anaheim now has matched the Canadiens’ record of 12 one-goal playoff wins in 1993.

New Jersey's Colin White, left, takes down Anaheim's Paul Kariya in the second period. The Mighty Ducks beat the Devils in overtime, 1-0, Monday in East Rutherford, N.J.

“It’s a lot different going back to Jersey 2-2 instead of 3-1,” Thomas said. “We knew after those two games in Jersey we were a lot better team than we showed. We decided it was time to turn up our game. It was a little bit embarrassing to play the way we played in the first two games.”

Giguere extended his record playoff overtime shutout streak to 168 minutes, 27 seconds, though he needed to make only one save in the overtime. He stopped all 26 New Jersey shots, including a succession of good attempts during a scoreless but riveting second period.

Giguere also challenged the Ducks to play with more emotion and commitment after the two losses, and they’ve followed his lead.

“Jiggy showed he’s a great leader,” Thomas said.

Giguere said: “We gave them too much respect, and we needed to go out there and play our game, do what we’ve done all year. (As a result) there is a hell of a lot of difference on the ice.”