A Swiss citizen, Beqiri was born to Kosovar Albanian parents in Vitina, SFR Yugoslavia (now Kosovo) on May 3, 1986, and, at the age of five, he relocated with his family to Basel, Switzerland where he soon began training in karate and taekwondo.

Two years after beginning fighting, he won his first title by defeating Jetmir Sula via decision to win the World Professional Kickboxing Council (WPKC) Swiss -63.5 kg/140 lb Muay Thai Championship in his hometown of Basel, Switzerland on May 8, 2004.

He proved that he belonged on the world stage by sending the Bosnian to the canvas in the first round before stopping him with a low kick in the second to take the belt.

Beqiri then attempted to make it two tournament wins on the trot by entering the TK2 World MAX 2009 in Aix-en-Provence, France on October 10, 2009, but was beaten on points by Jeremy Sportouch at the quarter-final stage.

[citation needed] He kicked the year off on January 30, 2010, at the Klash I -72.5 kg/160 lb Tournament in Zutphen, Netherlands where he knocked out Adem Bozkurt at the opening stage.

In his next outing, Beqiri captured the WKA World Middleweight (-72.5 kg/159 lb) Kickboxing title with a decision win over Diogo Calado in Basel on March 27, 2010.

Having taken a unanimous decision victory over Rosario Presti in the quarter-finals, he then exited the competition when he lost by the same margin to local fighter Dima Weimer in what was the fight of the tournament.

He was victorious on points over Turkish duo Erkan Varol and Tevfik Suçu to reach the final where he lost a close split decision to Faldir Chahbari.

After his original semi-finals opponent Farid Villaume pulled out, Beqiri instead took on Philippe Salmon and dropped the Frenchman in round one before taking the judges verdict to advance to the final where he came up against Rachid Belani.

Although contracts with top promotions such as K-1 and It's Showtime seemed to have eluded Beqiri, he was given the chance to fight at the highest level when signed with the newly founded Glory organization in April 2012 and was immediately entered into the 2012 Lightweight Slam tournament, made up of sixteen of the world's best 70 kg/154 lb kickfighters.

[19] Beqiri lost to Robin van Roosmalen by unanimous decision in a back-and-forth fight at Glory 10: Los Angeles in Ontario, California, United States on September 28, 2013.

In an incident in January 2012, he had hit a man in the face and went on to kick him when he went to the ground, after Beqiri's brother had first attacked the victim, also a kickboxer, with pepper spray.

In the resulting brawl, partly fought with baseball bats, six people were injured, including Beqiri who sustained fractures in his hand and nose.