Anze Kopitar tied it halfway by way of the third interval, Warren Foegele and Alex Laferriere additionally scored because the Kings gained their third straight.
David Rittich made 26 saves and stopped Matt Duchene’s shot within the shootout after Adrian Kempe and Fiala made their makes an attempt.
Duchene had two objectives and an help, whereas Thomas Harley and Mavrik Bourque additionally scored for Dallas. Jake Oettinger made 33 saves.
The Stars have dropped the primary two video games on their three-game California highway journey.
Dallas broke by way of within the third after trailing 3 times, moving into entrance when Duchene acquired his second aim on a wrist shot from the highest of the suitable circle.
However Kopitar put Kempe’s centring move in together with his proper skate 1:59 later. The lucky break was Kopitar’s 432nd profession aim, breaking a tie with Dave Taylor for third-most in franchise historical past.
Stars: The damage woes proceed for Dallas, with defenceman Ilya Lyubushkin sitting out due to an undisclosed ailment he picked up in Anaheim on Tuesday.
Kings: The choice to place Fiala on a line with Laferriere and centre Quinton Byfield has energized the beforehand dormant Los Angeles offence.
Fiala seemed to have gained it late in time beyond regulation with a blistering one-timer, however the aim with 36.4 seconds remaining was waved off following a video evaluate due to goaltender interference by Drew Doughty.
Fiala has 5 objectives and an help previously three video games, taking his run within the final 11 outings to 13 factors with 5 multi-point showings.
The Stars go to San Jose and the Kings host Anaheim on Saturday evening.
