Anaheim took a 1-0 lead during 4-on-4 play at 5:48 of the second period. McTavish stole a cross-ice pass from Kirill Kaprizov in the Minnesota zone and scored between the pads of Fleury on a breakaway.
Shortly after another 4-on-4 situation ended, Fleury made a save on Sam Carrick's short-handed breakaway at 13:40.
The Wild tied it 1-1 at 16:03. Dewar was closely defended by Carrick when he spun and shot the puck from the left point, but it appeared to glance off Ducks defenseman Nathan Beaulieu and into the net.
"It was tough for [Dostal] to pick that one up," McTavish said. "I don't think anybody even saw it."
Dewar earlier missed a wide-open net after Mason Shaw stole a pass from Dostal behind the net and fed Dewar, but his shot slid at 2:50 of the first period.
"I felt bad for 'Shawzy,' " Dewar said. "He made a nice play to me. Got a bit of it, but not enough."
Ducks forward Trevor Zegras hit the post off a rush at 12:44 of the first, and Fleury then made a pad save on Ryan Strome on the rebound.
"Just a good team game," Evason said. "We defend well, block a lot of shots, get rebounds, (and) get people away from our eyes so we can see the puck."
NOTES: Wild forward Mats Zuccarello had his 10-game point streak (seven goals, nine assists) end. … Anaheim is down to its third goalie with Anthony Stolarz (lower body) and John Gibson (undisclosed) injured. They are day to day. ... Boldy has seven points (three goals, four assists in his past six games. ... Addison leads all NHL rookies with 12 power-play points (12 assists). ... Minnesota center Frederick Gaudreau assisted on Hartman's goal to give him five points (four goals, one assists) in his past five games. ... McTavish has five points (one goal, four assists) in his past four games. ... Eriksson Ek's younger brother, Olle Eriksson Ek, was the backup goalie for Anaheim.