Tampa Bay’s Ondrej Palat, celebrates, after scoring past Rangers goaltender Igor Shesterkin with 42 seconds remaining to give the Lightning a 3-2 win in Game 3 of the Eastern Conference finals Sunday in Tampa, Fla. Chris O’Meara/Associated Press

TAMPA, Fla. — Just when it appeared the New York Rangers might be ready to push Tampa Bay to the brink of elimination, the two-time defending Stanley Cup champion Lightning showed they were nowhere near finished.

Nikita Kucherov and Steven Stamkos scored to wipe out a two-goal deficit, and Ondrej Palat finished a dramatic comeback with the 10th winning playoff goal of his career Sunday in a 3-2 victory that cut the Rangers’ lead in the Eastern Conference final to 2-1.

“We’ve been in spots like this,” Lightning Coach Jon Cooper said. “A big thing for us was, we felt we had a recipe, we just had to stay with it. I think there were times in the series where we’ve tried to manufacture things that weren’t there that put us on our heels, gave up opportunities. Whether it was a break, whatever it was, we weren’t in sync.”

Palat scored with 42 seconds left, off a nifty back pass from Kucherov, to cap a rally that began after Mika Zibanejad and Chris Kreider scored power-play goals in a span of just over two minutes to put the Rangers up 2-0 in the second period.

Facing the prospect of falling behind 3-0 in a series that began with a pair of losses on the road, the Lightning fought back with Kucherov scoring on the power play in the second period and Stamkos blistering a shot past goalie Igor Shesterkin from the left circle early in the third.

“We were down 2-0, and I don’t want to sit here and say we didn’t deserve to be down 2-0 because their power play has been great. …. But our 5-on-5 game I liked, and so we just needed to stick with that and stay out of the box,” Cooper said.

“I think in maybe years past – three, four years ago – maybe panic would’ve set in at some point, but not with this group. The power play got us going, and then we took off from there. But no question the ‘been there before’ has really helped our mindset in games.”

Kucherov had a goal and two assists.

Stamkos had a multi-point game, too, with a goal and an assist. Andrei Vasilevskiy stopped 28 shots after being outplayed by Shesterkin in Games 1 and 2.

“They were the better team tonight overall,” Rangers Coach Gerard Gallant said. “It went right down to the wire and had a chance to win late. … Disappointing, but we’ll move on and get ready for the next one.”

Game 4 is Tuesday night, with Tampa Bay looking to even the best-of-seven series and New York still in a position to move within one victory of its first trip to the Stanley Cup Final since 2014.

Artemi Panarin had two assists for the Rangers, and Adam Fox and Zibanejad had primary helpers on power-play goals resulting from a pair of penalties drawn by Shesterkin in the second period.

Tampa Bay’s Corey Perry was whistled for slashing on the first, and Riley Nash went to penalty box for interference before Kreider’s goal made it 2-0 midway through the period.

Cooper cited poor puck management and the lack of a sense of urgency as factors in Tampa Bay starting the series slowly following a nine-day layoff the defending champs earned with a second-round sweep of the Presidents Trophy-winning Florida Panthers.

Neither of those were a factor once the Lightning fell behind by two goals Sunday.

Shesterkin finished with 48 saves, but the Rangers wasted an opportunity to regain control of the game when Kucherov drew a four-minute penalty for high-sticking Zibanejad with just over nine minutes left.

In fact, New York lost the man-advantage when Jacob Trouba subsequently was penalized for tripping Tampa Bay’s Alex Killorn.

Shesterkin made save after save to keep the Rangers from falling behind, but couldn’t get his glove up high enough to stop Palat’s winner.

WEST FINALS: Nazem Kadri is a major reason why the Colorado Avalanche are one win away from the franchise’s first trip to the Stanley Cup Final in more than two decades.

They’ll have to take that step without him.

Kadri is out for at least the rest of the Western Conference final against the Edmonton Oilers after being injured on an illegal hit by Evander Kane in Game 3. The Avalanche are up 3-0 and go for the sweep Monday night in Edmonton.

“He’s out for the series, possibly longer,” Coach Jared Bednar said. “We should find that out in the next few days. My thoughts are the same on the hit: It’s a dangerous hit.”

On Sunday, the NHL suspended Kane for Game 4.

Kadri has six goals and eight assists in this year’s playoffs. He didn’t return after Kane sent him crashing left arm-first into the boards 1:06 into Saturday’s game. The hit was reviewed and called a major penalty.

“I don’t like it,” Avalanche captain Gabriel Landeskog said of the hit. “Those are the ones that kind of gives you the chills down your spine, and you’re taught from a young age that you don’t do that, and especially in that distance from the boards. It’s a dangerous play, and, yeah, I don’t know what else to say.”

Unsurprisingly given the shroud of secrecy in hockey, especially during the playoffs, the Avalanche have not revealed what Kadri’s injury is.