Josh Doan finished off a 2-on-1 thanks to a feed from Noah Ostlund to tie it 2-2 at 17:14.
Despite being outshot by Buffalo 9-3 in the second period, Anaheim scored twice to take a two-goal lead.
Sennecke moved the Ducks back in front 3-2 at 2:35. Dahlin backed off Sennecke as he drove down the left side, giving Sennecke room to cut to the front of the crease for a wrist shot.
Terry then tallied his first goal of the game to push it 4-2 at 15:40 when he retrieved the puck along the wall in the Buffalo zone, cut through three Buffalo players on his way to the net, and put it in with a backhand shot from the slot.
The Sabres cut it to 4-3 at 4:40 of the third period when Jack Quinn scored with a snap shot from the right circle off a rush.
After Kreider's shot went wide right on a breakaway at 8:31, and Lyon turned away Jansen Harkins on another backhanded breakaway attempt at 9:32, the Sabres tied it 4-4 when Ryan McLeod won the puck off the face-off at the left dot in the Buffalo zone, with Power putting a snap shot bar down at 10:05.
Benson buried the backhand dish from Dahlin into a wide open net, putting the Sabres up 5-4 at 11:37.
Mikael Granlund tied it 5-5 with 1:44 left in regulation. Tuch was called for tripping with 2:34 left, and the Ducks pulled Husso for the two-man advantage. Kreider's pass from below the goal line found Granlund above the right hash marks for the snap shot that beat Lyon over the glove.
"Lyon made some huge saves when we needed them," Thompson said. "We were fortunate to get a point out of that one. Obviously, it would have been nice to get another one, but getting points on all four games of this road trip is not an easy thing to do."
NOTES: The Sabres stretched their road point streak to 14 games (12-0-2). ... Dahlin has 17 points (four goals, 13 assists) in his past 12 games. ... Benson played in his 200th NHL game. ... Anaheim went 3-for-3 on the penalty kill and has killed 18 straight power plays over the past five games. ... The Ducks are 23-0-0 when leading after the second period. .... Anaheim is 16-4 beyond regulation this season.