Bemstrom scored a goal on three shots and earned an assist in Thursday's 7-3 defeat to the Islanders.
Bemstrom was called up by Columbus on Wednesday.
Bemstrom has nine goals and 11 points in six games for AHL Cleveland since clearing waivers and being sent down by the Blue Jackets.
Bemstrom was placed on waivers by the Jackets on Wednesday, Elliotte Friedman of Sportsnet reports.
Bemstrom scored two power-play goals in Thursday's 4-3 overtime loss to the Canadiens.
Bemstrom has scored two goals, including one on the power play, and added an assist in two preseason games as he fights to secure a spot on the Blue Jackets' Opening Night roster, Brian Hedger of The Columbus Dispatch reports.
Bemstrom scored a power-play goal and added an even-strength assist in Tuesday's 5-4 overtime loss to the Penguins.
Bemstrom registered two assists in Thursday's 6-2 loss to the Capitals.
Bemstrom was promoted from AHL Cleveland on Wednesday.
Bemstrom was reassigned to AHL Cleveland on Thursday,