Kulich recorded two goals and an assist in Monday's 7-1 win over the Islanders.
Kulich was called up from AHL Rochester on Friday, Heather Engel of NHL.com reports.
Kulich was reassigned to AHL Rochester on Tuesday.
Kulich scored a goal on five shots in Thursday's 6-4 loss to the Blue Jackets.
Kulich will remain on the Sabres' roster after Nicolas Aube-Kubel was placed on injured reserve Monday, Mike Harrington of The Buffalo News reports.
Kulich was reassigned to AHL Rochester on Sunday.
Kulich was assigned to the Czech World Junior team Friday.
Kulich was reassigned to AHL Rochester on Wednesday.
Kulich was recalled from AHL Rochester on Saturday, per Lance Lysowski of The Buffalo News.
Kulich signed a three-year, entry-level contract with the Sabres on Friday.