Fayne had the scapholunate ligament of his left wrist repaired, a procedure that is expected to sideline him for 3-4 months.
Fayne, one of three players the Devils tendered qualifying offers to Monday, had four goals and 17 points while playing all 82 regular-season games in his second NHL season. He added three assists in 24 playoff games.
The Devils also tendered qualifying offers to defenseman Matt Corrente and forward Vladimir Zharkov.
We were thinking about Rich back home, but I thought we did a great job getting mentally ready for this game. We're still in a big playoff push and we found a way to get two points. It's not easy. It hit our guys pretty good [Monday] night. We did a great job as a group.
— Dallas captain Jamie Benn on the Stars' OT victory against the St. Louis Blues the night after Rich Peverley collapsed on the bench