Fiala put Los Angeles ahead 3-2 at 11:52 of the third, stickhandling around Pittsburgh defenseman Erik Karlsson and shooting over a sprawling Sergei Murashov. It was Fiala’s 500th point in the NHL.
Corey Perry tied it 2-2 at 4:49 of the third with a wrist shot at the high slot off a drop pass from Cody Ceci.
Perry also had an assist, and Anze Kopitar also scored for the Kings (7-5-4), who had lost three of four (1-2-1). Darcy Kuemper made 31 saves.
Murashov made 24 saves in his NHL debut, and Tommy Novak and Anthony Mantha scored for the Penguins (9-5-3), who have lost four of five (1-3-1), including a 2-1 shootout loss at the New Jersey Devils on Saturday.
Novak gave Pittsburgh a 1-0 lead at 8:48 of the first period, finishing a backhand pass from Evgeni Malkin just above the crease.
Kopitar tied it 1-1 on the power play at 14:34, a wrist shot from a sharp angle at the near wall off the inside of Murashov’s left pad and in.
Mantha put Penguins back ahead 2-1 with four seconds remaining on a power play at 7:48 of the second period. After tapping the puck between his legs to Kris Letang at the point, he took a return pass for a wrist shot from the slot and his eighth goal of the season.