Sturm scored 22 seconds later with a tap in at the left post to make it 4-1, and Zuccarello pushed the lead to 5-1 at 19:29 with a shot from a sharp angle off the left shoulder of Primeau.
Pitlick, who was claimed off waivers from the Wild on Jan. 12, made it 5-2 at 4:24 of the third period.
However, Boldy scored a power-play goal to make it 6-2 at 6:04.
"We need to really be having everyone at the top of their game to give ourselves a chance, and tonight we didn't have that," Montreal coach Dominique Ducharme said. " They were much better than us."
Jordie Benn scored his first of the season off a drop pass from Sturm to push the lead to 7-2 at 9:58, and Fiala scored on a rebound near the right post at 15:12 for the 8-2 final.
"Every line, every line can play," Benn said. "Obviously, you got your top lines that are going to eat up a lot of minutes, and those guys that slide in at three and four are eating up some good minutes, and you can tell. They're putting up points and playing really well."
NOTES: With two assists, Kirill Kaprizov became the fastest player in Wild history to reach 100 points (44 goals, 56 assists in 92 games). He is also the fifth active player to reach the mark in fewer than 100 games, joining Alex Ovechkin of the Washington Capitals (77 games), Sidney Crosby (80) and Evgeni Malkin (89) of the Pittsburgh Penguins, and Connor McDavid of the Edmonton Oilers (92). … The eight goals are tied for the most in a game in Minnesota history. … Zuccarello has scored 16 points (four goals, 12 assists) and Fiala has scored 11 points (seven goals, four assists) during respective nine-game point streaks. …Canadiens forward Christian Dvorak (concussion protocol) left the game after the first period.