Girgensons scored his first of the season when he found a loose puck in the slot after Johan Larsson's initial shot hit Kyle Okposo before it could reach the net.
"We've got to manage those situations better; 3-3 with seven minutes left, we've got find a way to get points out of that game," DeBoer said.
Hertl tied it 2-2 with a power-play goal 44 seconds into the third period, but Jeff Skinner gave the Sabres a 3-2 lead at 2:28.
Sorensen tied it 22 seconds later to make it 3-3 at 2:50.
"When we score we have to take the momentum; we have to go right back into their end and take the game over," Hertl said.
Buffalo took a 2-1 lead at 17:03 of the second period when Casey Mittelstadt's redirected goal was awarded following a video review.
Johansson scored at 12:10 of the first period to give the Sabres a 1-0 lead.
Meier scored his first goal of the season at 16:00 of the first to make it 1-1.
"We showed a lot of character," Johansson said. "There's no quit here. Nothing changes. We had a couple of unfortunate bounces, but we got one back. A win is all that matters."