Tomas Vokoun stopped 17 shots for Florida before he was replaced by Scott Clemmensen in the second period. Vokoun was also pulled from Tuesday night's game against Washington, a 7-3 Florida loss.
"I didn't think that he was good enough. ... It wasn't a good enough first period by anybody, including our goaltender," Panthers coach Pete DeBoer said.
Clemmensen finished Saturday's game with 16 saves.
The Sabres went ahead 3-1 on Grier's goal 13:49 into the third. Gaustad dug the puck out of a scrum in front of the net and Grier pushed it in.
Florida had closed the gap to 2-1 with Bitz's goal at 11:04 of the second. Bitz, who returned to the lineup Saturday after missing four games because of a lower body injury, tipped in the puck from in front for his fifth of the season.
"It hit me around the shoulder or the mask area," Miller said. "Maybe I should have retreated or spread out a bit. I had the sensation maybe it was coming behind me a little bit. It landed perfectly for them."
Kaleta chased Vokoun with his goal 2:54 into the second. Vokoun came out wide of the net to reach a Buffalo shot, which then bounced off the end boards and came back out in front. Kaleta put in the rebounding puck with a wrist shot to stretch Buffalo's lead to 2-0.
"We got it to the net," Kaleta said. "That's what we've been preaching for the whole season, getting pucks to the net. Look around the league, there's a pretty goal here and there but they are mostly garbage goals and poking away."
Buffalo started the scoring on Hecht's goal with 6:34 left in the first. Hecht fired a shot from the goal line, and the puck hit Vokoun before trickling into the net.
"It seems like the ones that are in the good areas don't want to go in, but the ones that bounce off people and are in the tough areas give you a little better chance," Buffalo coach Lindy Ruff said. "Tonight was a strange one. The puck was bouncing a lot and there was a few plays you'd like to have back where the puck could have laid down better for both teams."
The Sabres and the Panthers will both play again Sunday. Florida will face in-state rival Tampa Bay at home. Buffalo will visit Carolina.
This was the third of four contests between the Panthers and the Sabres this season. They next face each other March 31 in Buffalo. ... Before the game, the Panthers unveiled the South Florida Hockey Den of Honor, which showcases important figures and moments in team history. Former Florida players, including Scott Mellanby and Brian Skrudland, attended the ceremony.
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SUNRISE, FL - MARCH 20: Nathan Horton #16 of the Florida Panthers fights with Patrick Kaleta #36 of the Buffalo...
(Photo by Eliot J. Schechter/NHLI via Getty Images)