Minnesota???s goaltender stopped 18 shots for his 10th career shutout, while Jason Pominville had three assists against his former team to inflict a ninth successive defeat on the Sabres.
Zach Parise, Kyle Brodziak and Erik Haula had a goal and assist for the Wild, who scored five times in their first 25 shots.
Thomas Vanek, another ex-Sabres star, also had a goal and assist as Minnesota racked up the largest margin of victory in franchise history.
Matt Cooke, Matt Dumba and Jared Spurgeon also scored to end the Wild???s worrying recent run of six defeats.
In Philadelphia, Henrik Sedin had a goal and an assist for the Vancouver Canucks in their 4-0 win over the Flyers.
Nick Bonino, Radim Vrbata and Jannik Hansen also scored, while Ryan Miller made 29 saves in another setback for the play-off chasing hosts.