Nicolas Deslauriers scored in his debut with the Wild (37-20-4), who have won three in a row.
"[Talbot] only cares about winning hockey games," Minnesota coach Dean Evason said. "He doesn't care about Cam Talbot, [he] cares about the team, and yeah [his play] was fantastic."
Logan Thompson made 33 saves for the Golden Knights (34-27-4), who won their previous two games but lost their sixth straight on the road.
"I mean, we're desperate right now, right?" Vegas defenseman Alex Pietrangelo said. "We know where we are in the standings. We know what we have to do to get in, through playoffs. I thought we did a good job coming out. Obviously, it wasn't enough. Easy to say, you don't win, but I think if you look at the effort a lot of guys put in, you can be proud of that. But you know, again, we've said that a lot. We've got to find a way to win hockey games."
Deslauriers scored at 5:43 of the first period on a one-timer from Brandon Duhaime to give the Wild a 1-0 lead. He played on a line with Duhaime and Tyson Jost after being acquired in a trade with the Anaheim Ducks on Saturday.
"It's a line thing, it's not just me," Deslauriers said. "Great pass by [Duhaime] there. I think our line is something we can bring. It's fun playing with those two guys. Jost is a fast, skilled, hard-working guy, and [Duhaime], playing against him, he's a hard guy [who] can fly too. That's a line goal, not me."
Matt Dumba made it 2-0 at 5:46 of the third period with a wrist shot from the high slot, and Ryan Hartman scored an empty-net goal with seven seconds left for the 3-0 final.
"When everyone is clicking, we're an unstoppable team and we're bringing up some guys that just want to win," Minnesota forward Marcus Foligno said. "That's the mentality we have, just to do whatever it takes to win and bring in some character guys like the ones we've brought in. Now it's time to go."