Rantanen gave Dallas the 2-1 lead at 9:32 of the third period, scoring off a 2-on-1 rush with Wyatt Johnston, who started the play by stealing the puck from J.T. Miller near the blue line in Dallas’ defensive zone.
Rangers center Sam Carrick had hit the crossbar on a redirect of Gavrikov’s shot 32 seconds earlier.
“I really liked the response after we got scored against,” Rangers coach Mike Sullivan said. “We didn’t sink. You get the feeling behind the bench. You can tell when those types of moments affect a team either in a negative way or the opposite. You can feel it on the bench and the feeling I got tonight was that the response was the right one, to answer, just drop the puck and play and let’s keep going at these guys, try to dig in here and find a way to get that tying goal. I give the players a lot of credit.”
They got it from Cuylle at 17:47. He made it 2-2 when the Rangers had six forwards on the ice 15 seconds after Shesterkin went to the bench for the extra skater.
Cuylle got the puck off a rebound on the left side, twirled around and scored with a shot that went in off DeSmith.
“It was just kind of a loose puck and I was just trying to get it back to the net,” Cuylle said. “They pressure so hard up high so I knew they might only have one or two of their guys at the net and we would have maybe two or three. So I was just trying to get it to the net and it’s off his leg and in.”
In overtime, Gavrikov read off Panarin and Mika Zibanejad and got himself into the slot to score the winner.
“Mika and ‘Bread’ made a great move and I saw an opportunity to jump in front of ‘Bread’ and create a little confusion,” Gavrikov said. “He got a shot. Obviously, I thought he was going to score, but the rebound, got it done with that.”
NOTES: Stars forward Tyler Seguin did not return after leaving with a lower-body injury at 1:44 of the first period. Gulutzan said he’s being evaluated and they will know more about Seguin’s status Wednesday. … Jamie Benn played in his 1,200th NHL game, all with the Stars.