Cossa has gone 14-9-3 with a 2.23 GAA and a .918 save percentage over 26 games with AHL Grand Rapids this season.
Cossa was reassigned to AHL Grand Rapids on Wednesday.
Cossa stopped 12 of 14 shots in regulation and overtime, plus two of three shootout attempts, in Monday's 6-5 win over the Sabres.
Cossa was summoned from AHL Grand Rapids on Monday under emergency conditions.
Cossa was assigned to AHL Grand Rapids on Saturday.
Cossa signed a three-year, entry-level contract with the Red Wings on Saturday.
Cossa was drafted 15th overall by the Red Wings at the 2021 NHL Draft on Friday.