David Vyborny and Rick Nash also scored in the shootout for Columbus. Pavel Datsyuk and Dan Cleary netted Detroit's shootout goals.
Datsyuk scored in regulation and Chris Osgood made 29 saves for Detroit, which had Todd Bertuzzi in the lineup for the first time since being acquired by the Red Wings from Florida at last month's trade deadline.
Bertuzzi, who hasn't played been since October because of back surgery, played left wing on Detroit's top line that was centred by Datsyuk and had Tomas Holmstrom on right wing.
Bertuzzi received an interference penalty with 4:42 remaining in the second period.
Ole-Kristian Tollefsen had Columbus' goal and Fredrik Norrena stopped 35 shots.
Fedorov, a member of the Red Wings from 1990-2003, was booed by Detroit fans every time he touched the puck.
Tollefsen tied the game with 2:42 left in regulation on a slap shot from the point.
Datsyuk gave Detroit a 1-0 lead at 8:30 of the third period when he beat Norrena with a slap shot from the left circle for his 24th of the season and third in three games. Norrena got a piece of the shot with his glove.
Notes: Detroit LW Dan Cleary returned after missing 11 games with a knee injury. ... Columbus D Rostislav Klesla missed his second game with a hip injury. ... Datsyuk stretched his point streak to 12 games (5-13-18). ... Red Wings D Chris Chelios played in his 1,540th NHL game, tying Johnny Bucyk for ninth on the career list.