The Ducks twice erased one-goal deficits and pulled even with goals by Ryan Strome and Brett Leason on the way to their fifth straight win over Columbus.
In the overtime, Benoit-Olivier Groulx picked up a loose puck in his own zone and sent a pass to a streaking Vatrano near center ice, and the 29-year-old winger beat Columbus goaltender Elvis Merzlikins on the stick side.
Adam Fantilli had a goal and an assist, his first multi-point NHL game, and Emil Bemstrom scored for the Blue Jackets, who had a two-game wins streak halted. Merzlikins stopped 24 shots.
After squandering a pair of power-play chances in the first period, the Blue Jackets capitalized on a third when Bemstrom scored his first of the season from the left circle at 16:49. Ivan Provorov set up the goal with his fifth assist in five games.
The Ducks got the equalizer when Strome scored off an odd-man rush, burying the rebound of a shot by Pavel Mintyukov at 15:49 of the second, his first goal of the season.
The score remained tied until Columbus’ Fantilli beat Dostal from the left circle at 9:13 for his second career goal and second in as many games.
That lead held until Leason beat Merzlikins between the pads at 16:13 of the third.
Vatrano secured two points for Anaheim with his overtime winner off a breakaway.