Thompson put Buffalo back ahead 3-2 with a one-timer in the left circle off Jack Quinn’s cross-slot pass after blowing a 2-0 lead.
Thompson was coming off a hat trick and two assists in a 7-6 win at the Anaheim Ducks on Thursday.
Quinn had a goal and an assist, and Zach Benson and Rasmus Dahlin each had two assists, and the Sabres (7-4-3) extended their road point streak to seven games (4-0-3). Ukko-Pekka Luukkonen made 27 saves.
Corey Perry and Andre Lee scored for the Kings (4-7-2), who couldn’t build off their first home win Thursday and dropped to 1-4-0 on home ice. Anton Forsberg made 28 saves.
Quinn’s power-play goal gave Buffalo a 1-0 lead at 6:35 of the first period when he beat Forsberg on a snap shot from the slot, set up by Benson and Rasmus Dahlin.
Thompson made it 2-0 at 15:38 of the second period, scoring on a snap shot from the right circle on a pass from Benson off the rush.
Perry cut it to 2-1 at 17:24 on the power play when Trevor Moore’s one-timer from the right circle deflected in off Perry for his first goal of the season. The goal was initially waved off for goaltender interference, but the play was overturned when the Kings successfully challenged.
Lee tied it 2-2 just 1:29 into the third period. He was alone in the crease to put in Scott Laughton’s centering pass from the trapezoid shortly after a power play expired.