Ville Meskanen scored for the second straight game, while Brett Howden, Tim Gettinger and Ryan Lindgren chipped in with their first goals of the tournament.
Gettinger, who stands 6-foot-6, leveled a Wild skater in the neutral zone, leaving him alone at the Minnesota blueline. Jakob Stukel led Gettinger on a breakaway, and the winger buried the shot for the 1-0 advantage.
"The D was moving the puck up the ice and made a pass," Gettinger said. "I finished my check and luckily the puck squirted out and I got a breakaway and I was lucky enough to score."
Howden, who had a pair of assists in Friday's contest, doubled the lead at 6:25 when he batted a puck out of the air on a goal mouth scramble. Ty Ronning and Dawson Leedahl were credited with the assists.
The lead stretched to three just under five minutes later when Filip Chytil left a pass for Meskanen, which the Finnish winger fired on net for his second goal of the tournament.
Dallas scored two unanswered, including late in the second and another midway through the third before the penalty killed did its job in going 6-for-7 on the night.
New York's power play stepped up big in the third period. While up a goal, the Rangers killed off three consecutive penalties, including two separate 5-on-3 chances to preserve a lead they had surrendered 24 hours prior. Lias Andersson, especially, sacrificed his body by laying out to block a shot while down two players, which garnered the respect of his teammates.
"Guys were willing to block shots," Lindgren said. "You saw Andersson go down to block a big one on the five-on-three. Guys just doing what it takes to get the puck out."