Marner cut it to 2-1 with a power-play goal at 11:52 of the second period. It was his first goal of the season.
Reinhart scored a short-handed, empty-net goal with one second remaining in the third period for the 3-1 final.
Bobrovsky stopped 13 of 14 shots in the second and all seven he faced in the third.
“It is a process, a long process,” he said. “You try to build confidence in your game, build trust and chemistry with teammates. Support each other.”
Toronto was 1-for-5 on the power play; Florida went 0-for-4.
“I liked a lot about our game. That was probably the best game we have played in as far as the quality of the game,” Maple Leafs coach Sheldon Keefe said. “It was tight, fast and competitive. I thought our guys did a good job defensively and did not give up too much. Their goals came from a distance. We didn’t generate enough offense. Don’t score, you don’t win, and that’s the way it goes.”
Toronto forward Tyler Bertuzzi had one shot on goal in 13:53 of ice time. Keefe said Bertuzzi, who has one goal in four games, is “less than a 100 percent here.”
When asked if Bertuzzi could miss a game, Keefe said, “Possibly. We will have to see. This is something he is dealing with, [but] it is not too severe. But even on the bench, he is trying to stay loose and get ready for his next shift. That is not a good sign to me.”
NOTES: It was Bobrovsky’s 107th win with the Panthers, passing John Vanbiesbrouck for second in franchise history. Roberto Luongo leads with 230. … Florida center Aleksander Barkov won 14 of 22 face-offs (63.6 percent). … Maple Leafs forward Auston Matthews was held off the score sheet for a second straight game after he scored a hat trick in each of the first two to start the season. He had five shots on goal but was minus-2 in 24:08.