Benn gave the Stars a 1-0 lead at 1:48 of the first period on the power play, scoring in his second straight. Uncovered at the side of the net, he took a cross-ice pass from Hintz and his initial attempt hit Anderson's skate before rebounding back to his stick for the tap-in.
Dahlin then tied it 1-1 at 11:29 on a one-timer from the blue line, setting a new career high with his 14th goal.
"I think [overtime is] one area we have to get better," Hintz said. "We need to get more points from those. That's the one area we need to focus on and get better."
Dallas outshot Buffalo 14-8 in the first, including a 10-0 advantage through the first half of the period.
"[Anderson] was amazing the first 10 minutes, outstanding," Granato said. "We were able to collect ourselves after the first period by him holding us in there. Dahlin had a huge goal at the end of the first to go into intermission tied 1-1. We could've been down by 4-1 or 5-1. Our guys at that point understood the competitive level of the game, and we rose to it.
"Our second period was great and the third and overtime, you have our oldest player in Anderson do what he did early on that was so important, and then our youngest player finishes it off, first with the goal post in overtime and then with the goal in overtime. Heck of a night for Owen all the way through this one."
NOTES: Olofsson has nine goals in his past 10 games. … Power (20 years, 62 days) is the third-youngest defenseman and fifth-youngest player in Sabres history to score in overtime. … Power was eight days old when Anderson made his NHL debut Nov. 30, 2002. … Thompson had two assists to extend his point streak to four games (one goal, four assists). … Hintz played 14:38 and had one shot on goal in his return after missing seven games with an upper-body injury. ... Benn scored his 98th career power-play goal, tying Dave Gagner for fourth-most in Stars/Minnesota North Stars history. … Benn's goal marked the sixth time this season Dallas has scored within the first two minutes of a game, the third-highest total in the NHL behind the Nashville Predators (nine), Vancouver Canucks (eight) and Tampa Bay Lightning (eight).