Kuqi started his career with FC Lahti of the Veikkausliiga in 2002, spending three years with the club and scoring twenty goals in all competitions.

During his time at Birmingham, Kuqi was loaned out for a month to Blackpool in January 2006, making four appearances before returning to his parent club.

Shortly after, in September 2010, Kuqi joined Dundee on a one-year deal, but was released a month later when the club went into administration.

Kuqi has also played internationally for the Finland national team, earning 12 caps and scoring 5 goals for his country.

[7] Kuqi featured regularly for Birmingham's reserve side,[8] but had a number of more experienced strikers in front of him, including Emile Heskey and Mikael Forssell, which made it difficult for him to break into the starting eleven.

[5] However, Kuqi played just once for the club, starting in Peterborough's 2–2 draw with Barnet,[14] before returning to Birmingham a month earlier than expected.

[15] In June 2006, Kuqi signed for FC Groningen on a free transfer, where he was to compete for a place in the team with players such as the former Manchester United striker Erik Nevland.

After a range of conflicts, Kuqi was released by Groningen in August 2006, having made no first-team appearances for the club, with the season just two weeks old.

[17] However, Kuqi struggled to make first-team appearances for the club,[18] and was subsequently featuring regularly in the reserve side, FC Carl Zeis Jena II, in the German NOFV-Oberliga.

[18] Kuqi spent a week on trial at Dutch Eerste Divisie side RBC Roosendaal in July 2010, scoring in the club's 1–0 friendly win against Royal Antwerp.

[28] However, he was unsuccessful in his attempt to earn a contract at Swansea, and subsequently requested a trial at League Two side Stevenage in August 2010.

[42][1] On 11 December 2018, Finnish Veikkausliiga-side HIFK Fotboll announced, that they had signed Kuqi for the 2019 season on a one-year deal.

After that, Kuqi was out of the picture and it was thought that he was keen to play for Kosovo,[46] but in August 2008 he was called up to the squad once more when Stuart Baxter selected him for a friendly against Israel, although he was an unused substitute.

[47] In September 2008, Kuqi gained his third cap as a 75th-minute substitute in Finland's 2010 World Cup qualifier against Germany, with the game ending 3–3.