Sundin had two goals and an assist and Renberg added a goal and two assists, sparking Toronto's third-period comeback.
Sundin tied it 2 1/2 minutes into the final period, then put Toronto ahead for good with his 30th goal with 2:57 left. It was his ninth 30-goal effort in 11 NHL seasons.
Toronto's all-Swedish top line of Sundin, Renberg and Jonas Hoglund has combined for 51 goals and 79 assists in 54 games.
Renberg added his 10th goal with a minute left to seal the win and Curtis Joseph made 23 saves for the Maple Leafs.
Pascal Dupuis scored the lone goal for Minnesota, which is winless in its last eight games (0-4-1-2).
Swim Week Miami Beach 2014 [PHOTOS]