The Mets, with their season on life support after a horrendous start and a roster filled with injuries, sure appeared to be on their way to another series loss — this time at home to the Yankees in the Subway Series.

Instead, they came away with a stunning 7-6, 10-inning win at Citi Field on Sunday.

Down to their final out, Tyrone Taylor tied the game for the Mets with a three-run homer in the bottom of the ninth off closer David Bednar.

And in the 10th, after Devin Williams got Austin Wells to hit into an inning-ending double play with runners on the corners to keep the game knotted, Carson Benge won it with a chopper up the middle that scored Marcus Semien from third.

The Mets have won five of their past six games — and four of their past five series — while the Yankees have dropped three straight series and seven of their past nine games.

“Baseball is hard to explain at times,’’ Carlos Mendoza said after the Mets won a game they trailed heading into the ninth inning for the first time since Pete Alonso homered against Williams in Game 3 of the 2024 wild-card series in Milwaukee.

They had lost 91 straight games when behind entering the ninth.

“We continue to come back in games,” the manager said. “We showed it the whole homestand. We get punched in the face [and] we get back up.”

That was rarely more true than Sunday, as Freddy Peralta struggled with his command and Sean Manaea replaced him in the sixth and the two combined to allow four runs in a tie game.

And one of those runs scored when Bo Bichette dropped what Mendoza called a “routine” pop-up.

But then the Mets, who dropped the first game of the series before beating the Yankees on Saturday, scored twice in the bottom of the sixth.

Still, down by three runs in the bottom of the ninth, a comeback didn’t seem close.

Benge and Bichette, though, led off with singles before Juan Soto grounded into a forceout and Mark Vientos whiffed.

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Taylor followed with a homer down the left field line off a Bednar curveball.

With Tim Hill on the mound for the Yankees in the bottom of the 10th, A.J. Ewing bunted automatic runner Semien to third and with the infield in — including Max Schuemann in from left field as the fifth infielder — Luis Torrens was hit by a pitch.

That brought up Benge, who hit a chopper over the mound. Schuemann and shortstop Anthony Volpe collided and Semien scored without a throw.

“It’s always good to show some fight and come back,’’ said the lefty-swinging Benge after he delivered against the left-hander Hill.

The Yankees, meanwhile, will head back to The Bronx after a tough road trip that included a series sweep at the hands of the Brewers, as well as four losses in six games to the Orioles and Mets.

“Guys are playing tough and making the plays they need to, but just coming up a little bit short,’’ Aaron Judge said of the team’s struggles. “We’ve got to have a short memory and move on and get ready for the [homestand] because we’ve got a big division opponent [Toronto] coming in.”

They were set up to beat the Mets after Volpe’s two-run single in the sixth gave them a 5-1 lead and his bases-loaded walk an inning later put them ahead by three runs.

But Bednar faltered and the slumping Wells couldn’t come through in the 10th.

“I think they’re all capable of getting big outs and they have throughout this year,’’ Aaron Boone said of the bullpen. “We just had a terrible road trip where we certainly had some tough ones.’’

As the Mets travel to Washington, they’ll look to build on their success and overcome their list of injury woes.

“We know we’ve got to start playing better,’’ Mendoza said. “It’s been rough. But that’s in the past. All we can control is every game, every series. We did that this homestand. We’ve got to continue to do it. We’ve got a long way to go.”