Career
Club Celje Bezjak made his debut for Celje on 9 April 2008 against Maribor coming on as a substitute for the last 6 minutes. The following season he made his first start for Celje, on 2 August 2008, in a 0–0 home draw against Domžale before being substituted by Saša Bakarič. Two weeks later, Bezjak scored his first goal in a 2–2 away draw against Primorje.
He began to establish himself in the Celje first team from the 2009-2010 season, making 24 appearances (15 starts) and scoring 6 goals.
Razgrad On 22 August 2012, Bezjak signed a four-year contract with Bulgarian A Group side Razgrad. He made 14 appearances during the 2012-2013 season, finishing with 5 goals.
In the following season Bezjak became a first team regular. He also scored three goals in two matches against PSV Eindhoven in the group stage of the Europa League.
In February 2014, he netted in both legs of the 4–3 aggregate victory over Lazio in the 1/16 finals of the Europa League.
On 13 March 2014, he earned а penalty kick in the 0–3 home loss against Valencia CF, but missed from the spot. He ended the season as the club"s top scorer, scoring 20 goals in all competitions. Rijeka On 14 May 2015, HNK Rijeka announced that Bezjak had signed a three-year contract, tying him with the club until June 2018.
He made his official début for the club on 10 July 2015, in a goalless away draw against Inter Zaprešić in Round 1 of the Croatian First Football League.
On 19 July 2015, Bezjak scored a brace in a 3–3 home draw against Slaven Belupo. Bezjak earned his first cap for his country on 14 August 2013, after coming on as a substitute in the 0–2 loss against Finland in a friendly match.