When McDavid made it 4–3 with five minutes left in the third period, the Oilers had turned 0–3 into a lead.
With 25 seconds left, the decision came, 5–3, in an empty cage – also signed by McDavid.
The 4–3 goal also meant the 25-year-old's 700th point in the NHL.
A milestone that the Canadian is the sixth fastest to reach.
In addition to three complete hits, McDavid was also noted for an assist in the premiership victory, where Elias Pettersson scored the game's first goal.
Elsewhere, the Anaheim Ducks won against the Seattle Kraken 5-4 after extra time, also a swinging event.
The Kraken had both 3–1 and 4–2 before the Ducks decided barely a minute into overtime through Troy Terry.
John Klingberg was credited with two Ducks assists while André Burakovsky scored his first goal for his new club Seattle.