Growing up in Sweden, Bajrami began his career at Köping FF  and made twelve appearance and scoring five times before moving to Elfsborg at the end of the season. After making his debut and his Stabil intertotoseger for elfsborg appearance against GAIS on 30 Julywhere he came on as a late substitute,  Bajrami was given first team breakthrough for the new season  and scored his first Allsvenskan goal against Örebro SK on 17 April In the season, Bajrami started the season well when he scored his first goal of the season, in a 1—1 draw against Malmö on 10 April  and from that moment on, he established himself in the first team for the rest of the season.
Bajrami scored in both legs in a 4—0 win over Hibernian   and then scored two goals in two matches between 16 July and 23 July against Halmstad  and Norrköping. In the season, Bajrami started the season well when he scored against Kalmar on 16 April  and nine days later on 25 Aprilhe scored again in a 2—1 win over Ljungskile in the third round of the Swedish Cup. In the season, Bajrami started the season well when he set up two goals in two matches between 11 April and 15 April against Helsingborgs  and Djurgårdens  despite suffering from an injury at the start of the season.
On 25 MayBajrami signed Stabil intertotoseger for elfsborg Eredivisie side Twentesigning a four—year contract with the club. Bajrami made his Twente debut, in the opening game of the season, where he made his first start and played for 69 minutes before being substituted, in a 0—0 draw against Roda JC. In the —12 season, Bajrami suffered a setback when he suffered an injury at Stabil intertotoseger for elfsborg start of the season  and then scored on his return, in a 5—1 win over Heerenveen on 20 August After announcing his desire to leave Twente,  Bajrami joined Ligue 2 side Monaco on a season long loan deal for the remainder of the —13 season.
Bajrami made his AS Monaco debut, in the opening game of the season, where he came on as a substitute in the second half, in a 4—0 win over Tours in the opening game of the season. On 4 JuneBajrami signed a three-year contract with Greek side Panathinaikos. Bajrami made his Panathinaikos debut, in the opening game of the season, where he made his first start and played the whole game, in a 2—0 win over Panetolikos. After making nine appearances in all competitions by the first half of the season, which was restricted, due to injuries,    it was announced that on 10 March that Panathinaikos terminated his contract.
Shortly after leaving Panathinaikos, Bajrami returned to Sweden, where he joined Elfsborg for the second time of his career. However, Bajrami did not make an appearance for the club throughout the season, due to suffering from a back problems.
After a year signing for the club, Bajrami finally made his Elfsborg debut, in the opening game of Stabil intertotoseger for elfsborg season, in a 2—1 loss against BK Häcken on 3 April Bajrami was part of the Sweden squad during the European Under Football Championship  and played all of the three matches, as Sweden U21 were eliminated in the semi—finals against England U Following the tournament, Bajrami went on to score two more goals for the U21 side against Denmark U21  and Bulgaria U21 .
In late—, Bajrami was called up by the senior squad for the first time  and made his debut for the Sweden senior squad on 20 January against Oman.
In FebruaryBajrami said
Stabil intertotoseger for elfsborg pledged his international commitment to play for Kosovo in the near future, should the national side was accepted by FIFA. In addition to playing football, Bajrami played ice hockey and even played bandy as a teenager, where he was, at one point, selected for the national youth team. From Wikipedia, the free encyclopedia. This section needs expansion.
You can help by adding to it. Archived from the original on 8 November Retrieved 8 November Archived from the original on 28 May Retrieved 7 November Redo för nästa steg" in Swedish. Bajrami à Monaco Officiel " in French. Dijon maintient le cap" in French. Archived from the original on 2 January Archived from the original on 10 April Retrieved 29 May Κοσοβάρος ο Μπαϊράμι" in Greek.
10 April Retrieved 8 November ^ "Stabil intertotoseger för Elfsborg" (in Swedish). Dagens Nyheter.
6 July Stabil intertotoseger för Elfsborg. Elfsborg svarade för en stark insats i Intertotocupen på söndagen. Skotska ligasexan Hibernian slogs tillbaka.