Jonathan Bernier made 32 saves for the defending Stanley Cup champions, who tied it with 9:34 left on Jeff Carter's goal during a two-man advantage. King then made a spinning pass from the boards in front to Kopitar, who beat Jimmy Howard for his sixth goal of the season.
Howard stopped 27 shots for the Red Wings, who had won two straight after an 0-3-2 skid.
Kyle Quincey scored his first goal of the season on a misplay by Bernier in the first period.
It's a date that's been circled on my calendar, so it's kind of nice to have it here and get it over with (Thursday). This is a little bit of the closing of the book on the move. That's kind of how I'm looking at it.
— Stars forward Jason Spezza on returning to Ottawa for the first time to face the Senators