But Draisaitl’s bobbling pass hit McDavid’s skate and the opportunity was lost.
“We just didn’t connect clean,” said McDavid of the breakaway chance in overtime. “It was a little too far in front of me. I couldn’t get to it. They had a chance, we had a couple chances, and the last goal wins, obviously, and they were able to find it.”
Just 30 seconds into the extra frame, Draisaitl carried the puck across the blue line with McDavid to his right. Draisaitl slowed down just enough to be caught by Jeff Petry, who got his stick on the pass to McDavid.
“I was a little worried, obviously,” said winger Brendan Gallagher. “It was nice when you saw McDavid slow down and Draisaitl try to compose the puck. Not exactly what you want to give up but we found a way. Price made a save, calmed things down, and Drouin went the other way to win the game.”
After the Canadiens won the ensuing faceoff, Drouin took the puck from behind his own net, gave a burst of speed in the neutral zone, cut back around Oilers defenceman Kris Russell before beating Mikko Koskinen 58 seconds into overtime for his 15th goal of the season.
“We had a little bit of luck on that,” said Canadiens coach Claude Julien. “There’s no doubt about it. But a lot of times that’s what you need to win hockey games. Luck was on our side this afternoon.”
Down 3-2 in the third period, the Canadiens (29-18-6) sent the game to overtime when rookie Jesperi Kotkaniemi scored with 6:25 left on the clock, his second goal in as many games.
It was a mirror image of Saturday’s matinee game, when Montreal squandered a third-period lead in a 3-2 overtime loss to the New Jersey Devils.
The Oilers (23-24-5), who got two goals from Draisaitl and another from McDavid in regulation time, have now conceded 24 goals during their five-game skid.
Koskinen stopped 23-of-27 shots in defeat.
Edmonton also lost 5-4 in overtime to the Philadelphia Flyers on Saturday afternoon.
“I’m not happy at all,” said coach Ken Hitchcock. “We had a lead in the third period in both games. These are points that sometimes come back to haunt you. It’s disappointing to play this well on this road trip. We pretty much maxed out. We need wins, not one-pointers.”
Shea Weber got the Canadiens on the board 2:23 into the game with his 97th career power-play goal, a one-timer from the top of the face-off circle.
The Oilers tied the game at 9:44 of the first when Nurse’s shot bounced off Milan Lucic in front of goal and landed right on Draisaitl’s stick.
The home team restored its one-goal lead when Max Domi scored his 17th of the season on a wraparound while falling to the ice at 1:09 of the second period, just moments after he batted the puck out of mid-air.
McDavid made it 2-2 at 8:05 of the second, on the power play, for his team-leading 31st of the season.
With Weber in the box for hooking, a wide-open Draisaitl gave the Oilers their first lead of the game at 14:55 of the second.
Edmonton finished 2 for 4 with the man advantage.
Back in goal after serving a one-game suspension for missing the all-star game, Price stopped 21-of-24 shots for his fifth win in a row.
Notes: Paul Byron suffered an upper-body injury after taking a hit from Matt Benning in the second period and did not return.