Fabbri went to the bench and then quickly headed to the dressing room.
In the third period, the Wings announced that Fabbri had an upper-body injury and would not return.
The Wings lost defenseman Madison Bowey Friday in Columbus and forward Darren Helm Thursday night in Buffalo.
Fabbri had just 11 shifts for 9:19, had two shots, three hits and was even.
After the game, Wings coach Jeff Blashill said, "No update. I just knew he couldn't finish the game."
Before the game, Blashill said that Helm and Frans Nielsen remained day to day and he also anticipates Anthony Mantha returning Tuesday in Buffalo.
