No matter how hard teams have tried, the Dallas Stars just won’t go away.

The Tampa Bay Lightning were 16:22 away from winning the Stanley Cup Saturday night. Mikhail Sergachev’s third-period goal broke the 1-1 deadlock and it was looking like there would be a big celebration on the Rogers Place ice. Joe Pavelski had other ideas, forcing overtime 10 minutes later.

Tampa then just needed a single goal to capture the Cup. It didn’t come after the first overtime, and despite some high-danger chances, it never came. Instead, Corey Perry put home a loose puck 9:23 into the second overtime to keep the Stars’ season alive and force a Game 6 Monday night (8 p.m. ET, NBC).

It was Dallas’ ninth comeback win of the playoffs, tying the franchise record in a single postseason. The record was set in the spring of 1999 when they claimed their only Stanley Cup title.

It was another moment during an improbable run the Stars have been on this postseason. Not given a chance against either the Colorado Avalanche or Vegas Golden Knights in the previous two rounds, Dallas stuck together and embraced the challenge.

Dallas’ season could have come to an end in Game 5, but Perry handed them a lifeline. In order for the Stars to be crowned champions, Friday’s defeat will have to serve as their final loss of the 2019-20 NHL campaign. The Lightning have been the better team in the series, so many might believe this is just delaying the inevitable. But Dallas has shown time and time again that you cannot count them out.

“We enjoy being called underdogs,” said Tyler Seguin, who has five points in the last two games. “Every person this whole time we’ve been in the bubble seeming to choose the other team we’re playing, we relish that. We believe in each other, we’ve got a confident group, and we don’t want to leave the bubble. We’re having fun.”

That belief has been instilled into the DNA of the Stars from veterans like Pavelski and Perry, both have been this far in the postseason before. Perry was in his second NHL season when the Anaheim Ducks won the Cup in 2007. This is his 10th trip to the playoffs to win a second title.

“I was a young kid coming into the league, 22 years old and I had the opportunity to win,” Perry said. “Here we are 13 years later and we’ve got a chance to do it with this group. In that dressing room we believe we can and that’s the biggest thing. It’s belief and resiliency throughout this whole season.”

The doubters have only fueled this Dallas run. Twenty-four teams entered the Edmonton and Toronto bubbles in late July. Only two remain and there are at most two games left in this season.

Only one team has ever come back from a 3-1 series deficit in a best-of-seven Cup Final. You won’t be able to stop the Stars from thinking they’ll be the second team in that trivia question and they will be the ones celebrating after a Game 7 Wednesday night.

“We came here with 51 people and all those guys in that dressing room believe that we can go out there and get this done,” Perry said. “That’s all that really matters.”

Tampa Bay Lightning vs. Dallas Stars (TB leads 3-2)

Stars 4, Lightning 1 (recap)

Lightning 3, Stars 2 (recap)

Lightning 5, Stars 2 (recap)

Lighting 5, Stars 4 [OT] (recap)

Stars 3, Lightning 2 [2OT] (recap)

Game 6: Monday, Sept. 28, 8 p.m. ET – NBC

*Game 7: Wednesday, Sept. 30, 8 p.m. ET – NBC

*if necessary

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Sean Leahy is a writer for Pro Hockey Talk on NBC Sports. Drop him a line at phtblog@nbcsports.com or follow him on Twitter @Sean_Leahy.