That included goalie Andrei Vasilevskiy, who made 37 saves after allowing seven goals, which tied an NHL career high, in Game 2.
"To go through what he went through two nights ago and perform like he did tonight and not only that, but to have them score first and then for the team to respond and back him up, I guess that's how you get to the places where we've been," Lightning coach Jon Cooper said. "So it was a pretty great effort for everybody."
Gabriel Landeskog scored two goals for the Avalanche, who lost on the road for the first time this postseason (7-1). Darcy Kuemper allowed five goals on 22 shots before being replaced in the second period by Pavel Francouz, who made 10 saves.
"They came out and they're fast and desperate, and we knew that going into it. We were going to expect them to be coming out hard here at home, kind of backs against the wall and be desperate," Landeskog said. "But I thought we did some really good things, and we've got to clean some up in our zone and make sure we're exiting our zone a little more clean than we did tonight."
After managing 16 shots in Game 2, the Lightning wanted to get to the middle of the ice in the offensive zone more and to put more shots on Kuemper. The two-time defending Stanley Cup champions did that from the start on Monday, generating 12 shots on goal and 24 shot attempts in the first period.
"We needed more shot volume and we needed more shot attempts," Maroon said. "I think when you do that and you work hard and you work hard to reload and you work hard to get on top of them, you're going to get second and third opportunities, and we did a way better job of that tonight."
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Valeri Nichushkin appeared to give Colorado the early lead at 5:00 of the first, but Cooper challenged the play for offside, and the call was reversed after a video review. However, Landeskog did put the Avalanche in front 1-0 at 8:19 when he scored on a rebound in the crease on the power play.
Anthony Cirelli tied it at 1-1 at 13:03 off a give-and-go with Maroon. Cirelli drove on Devon Toews toward the net, and as he tried to cut across the crease, he lost the puck but had it slide in under the right pad of Kuemper.
Palat gave Tampa Bay its first lead of the series at 2-1 by beating Kuemper blocker side from the slot at 14:54.
Nick Paul extended the lead to 3-1 at 1:26 of the second period following a giveaway by Josh Manson.
"There were some things I really liked from our group," Avalanche coach Jared Bednar said. "It wasn't consistent enough. The execution and some of the turnovers, we gave up one on an easy turnover, good numbers back and we turned it over and it ended up in the back of our net. They executed quickly on our mistakes."