Koskinen and Rittich finished the game after Smith and Talbot each received a game misconduct for fighting each other with 24 seconds left in the second period. Rittich had been replaced by Talbot at 3:18 of the second after McDavid scored his second of the night to put Edmonton ahead 4-1.
The teams combined for 102 penalty minutes.
"Those are fun games to play in," Smith said. "Not with all the fighting and stuff, obviously, that's part of it, but just high-intensity hockey. Especially the end of January, early February, you're playing important games. Those are important points for our team. Our guys battled hard. We were relentless tonight."
Yamamoto scored on the rebound of a sharp-angled shot by Oscar Klefbom 29 seconds into the game to give the Oilers a 1-0 lead, and Zack Kassian one-timed a pass from Josh Archibald to make it 2-0 at 1:05.
"It was a good start," Draisaitl said. "We've lost a few games against them this season, so we wanted to come out strong and come out fast. It was a good start for us."
Buddy Robinson cut the Edmonton lead to 2-1 at 12:42 when he chipped Johnny Gaudreau's return pass by Smith's blocker. It was his first NHL goal since April 7, 2016, for the Ottawa Senators.
McDavid made it 3-1 at 15:33 when he shot through a screen under Rittich's right arm on the power play.
After McDavid scored again, Matthew Tkachuk cut it to 4-2 at 4:35 on a pass from behind the net by Andrew Mangiapane, and Elias Lindholm made it 4-3 when his flip pass went in off Smith's skate at 10:14.
"It's 2-0 before the flood's even dry out there, so we're chasing the game all night," Giordano said. "I actually thought when it was 4-3 we had a good chance of getting back in this one and making it a game. Then, a couple breakdowns later, it's 6-3."
Ryan Nugent-Hopkins scored on a cross-slot feed from Yamamoto to make it 5-3 at 11:37, and Caleb Jones scored on a point shot through traffic to make it 6-3 at 15:58.
Sam Gagner scored on a slap shot to make it 7-3 at 13:16 of the third, and Gaetan Haas scored on a penalty shot with 1:57 remaining for the 8-3 final.
"Those are the types of games that really bring your group together," Gagner said. "Everyone stayed in the fight. Everyone was sticking up for each other. We played a great game. I think that's the main thing. Those are the types of games that really bring a group together, and we just have to keep working from here."