Bemstrom suffered a concussion which sidelined him for the season finale against the Islanders on Wednesday, Seth Rorabaugh of Tribune-Review Sports reports.
Bemstrom will not be in the lineup against the Islanders on Wednesday with an undisclosed injury, Penguins play-by-play announcer Josh Getzoff reports.
Bemstrom scored a goal on one shot in Monday's 5-2 win over the Rangers.
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.