Thompson cut the lead to 2-1 at 8:23 when he beat Oettinger on the far side with a wrist shot. Thompson has scored six goals in his past five games.
"I know [Oettinger] from playing with him a little bit, he's a good goaltender," Thompson said. "He moves so well. He gets across the net very quick, so it's tough to get him. When you go lateral pass to a shot, he's already over there. You've got to get greasy on him. You've got to get to the net, get a loose rebound, and try to find a way to bang one home there. He's tough to beat clean."
Raffl scored his second goal of the game at 16:16 to make it 3-1 off a second effort on a net-front scramble.
Denis Gurianov made it 4-1 at 8:56 of the third period when he tipped an Esa Lindell point shot for a power-play goal. The goal ended an 0-for-16 drought with the man-advantage for the Stars.
"We've had some really good third periods, and we have third periods like that where we just back off," Dallas coach Rick Bowness said. "Not back off. We get individuals and we stop playing as a team. We make it way too easy for the other team to play. It's something we've talked about and something we'll keep pounding at them."
Eakin pulled Buffalo within 4-2 at 14:02 when he scored on a sharp-angle shot from the bottom of the face-off circle.
Buffalo outshot Dallas 23-5 in the third period.
"Sometimes shots are to create a second shot, which is the better shot," Sabres coach Don Granato said. "When you put the puck on net, it's behind their defenseman, and they have to dig it out to even transition. There's more to it than just a shot, especially if you can get pressure towards the net. Our focus was obviously on getting pucks to the net but creating second chances as a result or stress as a result. I thought we were much better [in the second and third period]."
NOTES: Raffl had his first multigoal game since March 15, 2016, with the Philadelphia Flyers against the Detroit Red Wings. … Buffalo defenseman Mark Pysyk played 16:05 and was minus-1 in his first game in Dallas since leaving as a free agent in 2021.