San Jose responded by scoring two rebound goals within a span of 44 seconds later in the second period, and led 2-1 after 40 minutes.
Archibald, who earlier in the game absorbed a high stick to the face from Burns, pulled Arizona into a 2-2 tie when he scored from in close at 7:10 of the third period. Mario Kempe set up the goal with a crisp pass from the left corner.
"That's a big point for us, obviously, but not the ending that we wanted," Archibald said. "It's nice to get back into the swing of things after our break and the All-Star break, and get that point."