Strome tipped in a Radko Gudas shot through traffic at 6:45 of the third period to tie the game 2-2.
Kaprizov made it 1-0 at 6:39 of the first period, one-timing a cross-ice pass from Zuccarello.
Terry tied it 1-1 at 8:17 after Frank Vatrano forced a defensive zone turnover and found Terry open in the slot to beat Gustavsson short side.
Merrill put Minnesota ahead 2-1 at 18:37, tipping in Zuccarello's shot from the blue line shot that deflected off Gudas’ stick.
“That’s hockey for you,” Zuccarello said. “I feel like we created enough. There were some breakdowns, and they scored on their chances. ‘Gus’ was good, too. They had two or three breakaways, as well. We were sloppy. At the end of the day, I think it’s one of those games where they score and we don’t, and we should probably score a couple more.”
Marcus Johansson appeared to make it 3-1 Wild at 6:02 of the second period, but Anaheim challenged for offside, and a video review determined Matt Boldy preceded the puck into the offensive zone.
“That was big,” Ducks coach Greg Cronin said. “Brett Ferguson is our video guy and he called it right away. We couldn’t get a good angle from the bench, there were a number of different angles, but he was really confident the angle he had showed it.
“[Minnesota] came out like a lightning bolt and they dominated the second period, they just won face-offs, won 1-on-1 battles, won edge battles outraced us to the puck. …The message to our team was it’s going to be a long night if we don’t pick it up and match their speed and their battle level. I thought we did, and it turned into more of an even [third] period.”
NOTES: Anaheim’s eight third-period comeback wins this season are tied for the NHL lead with the Calgary Flames, Dallas Stars, Colorado Avalanche and Detroit Red Wings. … Wild forward Marcus Foligno was a late scratch with an illness. … Minnesota forward Pat Maroon left during the second period with an undisclosed injury. No update was provided postgame. … Kaprizov has 11 points (six goals, five assists) in his past seven games. … Henrique has eight points (four goals, four assists) during a five-game point streak.