Steve Begin and Brad Marchand also scored for Boston while Tyler Bozak and Viktor Stalberg tallied goals for Toronto.
The Maple Leafs kicked off a hectic preseason schedule playing nine games in 12 days.
Bozak gave the Maple Leafs a 1-0 lead in the first period before Boston answered with two power-play goals. Begin and Marchand each scored with a man-advantage in the second period.
Stalberg tied the game late in the second period before Wozniewski's game-winner.
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