William Nylander increased the lead 4-2 at 13:23 of the third period with a shot through traffic. The goal ties him with Borje Salming for the second-most goals by a Sweden-born player in Maple Leafs history with 148 (Mats Sundin, 420). Salming died at 71 on Thursday.
"Obviously, very special," Nylander said. "Obviously tough, an emotional day yesterday. It was nice to get the win for him and get that goal for him."
Zuccarello scored at 16:26 after Fleury was pulled for the extra attacker for the 4-3 final.
"We had the looks," Wild coach Dean Evason said. "Everything was executed correctly from whenever we pulled [Fleury], four [minutes] and a bit, we definitely gave ourselves a chance at the end."