Ty Smith scored in his NHL debut, Miles Wood scored, and Mackenzie Blackwood made 35 saves for New Jersey. Lindy Ruff lost his debut as New Jersey coach.
It was the Devils' first game in 310 days. They were not among the 24 teams in the NHL Return to Play Plan after last season was paused March 12 due to concerns surrounding the coronavirus.
The teams play at Prudential Center on Saturday.
"I liked that we were able to fight back," Ruff said. "We were determined to get back in the game. And, you know, if you look at the overtime, we had the better chances to win it in overtime. And I think if we compete that hard and skate as well as we did in the second and third, we're going to be OK."
Marchand gave the Bruins a 1-0 lead with a power-play goal at 17:40 of the first period. David Krejci took a pass from Patrice Bergeron and skated low into the right face-off circle before passing to Marchand near the left post for a deflection.
Wood tied it 1-1 on a breakaway at 8:51 of the third period.
"We let a lead get away in the third period and that's not a road we want to go down," Bruins coach Bruce Cassidy said. "I know it was only a one-goal lead, but still we've got to play winning hockey again, and I don't think we did in the third at times and we paid the price. It's a good teaching moment for us and still able to get the two points. It's nice, but that's an area that we're going to have to clean up."