Bajrami started his playing career in FK Sloga Jugomagnat, but after the relegation of Sloga Jugomagnat, He joined the new team in the first Macedonian league [KF KF Vëllazërimi 77|Vëllazërimi 77|Vëllazërimi] along with his teammate Minas Osmani who was in Vëllazërimi on loan from FK Vardar. Bajrami had an excellent half-season in Vëllazërimi, in which he scored 15 goals and was named man of the match11 times. He was a leader in both the top scorers table and in the MVP table. These statistics led to Bajrami being watched by several teams, before FBK Kaunas eventually signed him on a five-year contract.