Kirill Kaprizov scored for the fourth consecutive game, and Joel Eriksson Ek and Frederick Gaudreau each had two assists for the Wild (41-20-4), who are four points ahead of the Nashville Predators for second in the Central Division. Nashville won 4-1 against the Ottawa Senators on Tuesday.
"Teams like [the Flyers] that maybe are not in the run for the playoffs are dangerous because they play loose and are trying more plays sometimes, and that's dangerous if we're caught cheating the game," Gaudreau said. "I think the most important thing was to stay true to our identity and not start cheating the game. I think overall we did a pretty good job of that."
Philadelphia (21-35-11) was eliminated from Stanley Cup Playoff contention with the regulation loss, its third in a row. Morgan Frost scored, and Martin Jones made 33 saves.
"I think we just took our foot off the gas pedal," Flyers forward Cam Atkinson said. "Panic kind of set in for no reason. Obviously, we can't do that. (We) showed what we could do in the first 15 (minutes), which is play fast and wanting the puck, manning the puck and trying to make plays.
"I think we had three or four 3-on-2s playing the right way, then it just kind of deflated the bench when they scored. Second period wasn't our best as well. We just wanted to play hard. You never know what could happen if you score a goal in the third. I thought the third period was definitely our best."
Matt Dumba scored at 14:29 of the first period to give Minnesota a 1-0 lead. Gaudreau passed to Matt Boldy, who found Dumba cutting through the slot.