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.