Buffalo cut its deficit in half at 13:28 of the first period when Jordan Greenway scored via a slap shot from the left slot.
At 19:07 of the opening frame, Gabriel Landeskog had a goal disallowed because of goaltender interference.
Tage Thompson tied the game with a power-play goat at 14:56 of the second period via one-timer from the high slot.
At 16:22 of the middle frame, Brindley gave the Avs a 4-3 lead with his fourth goal of the season via a right-circle wrist shot.
“[It was] huge,” Brindley said about his line scoring two goals. “You need that scoring. We were fortunate enough to get that tonight. It was a big part of the win and [I’m] happy we could get two points.”