Wennberg gave Columbus a 1-0 lead on a power play at 1:19 of the third period when he redirected Seth Jones' shot from the point past Raanta. Jones has 16 points (four goals, 12 assists) in his past 16 games. He has points in 13 of those 16.
Perlini tied it on a power play at 7:39 of the third period when he collected a loose puck to the left of Bobrovsky for his 14th goal of the season.
Tortorella challenged for goalie interference, but the goal was upheld.
Perlini has scored a goal in four straight games, tying the longest streak of his career (Nov. 20-25). Perlini has 28 goals in his first 100 games, the most in Coyotes history. Peter Mueller had 27 (2007-08).
"Somebody had told me that before the game," Perlini said. "To me, it doesn't really matter about any of that stuff. I just play the game for fun and to win. It was a pretty solid game. Unfortunately, it wasn't enough."
The Coyotes have earned a point in seven of nine games in January (3-2-4).
"I like this month," he said. "I like the way they've been practicing and playing. This is a tough loss. I think we deserved better, but we have three days of practice so we can't let it slide."