Beširović started his professional career at Radnik Bijeljina, before joining Hajduk Split in 2018.

Beširović came through Académico de Viseu's youth setup, which he left in February 2015 to join Radnik Bijeljina.

[5] On 19 June 2018, Beširović was transferred to Croatian side Hajduk Split for an undisclosed fee.

[7] On 2 August, in UEFA Europa League qualifier against Slavia Sofia, he suffered a severe knee injury, which was diagnosed as anterior cruciate ligament tear and was sidelined until the end of season.

[9] In August 2017, Beširović received his first senior call-up to Bosnia and Herzegovina, for 2018 FIFA World Cup qualifiers against Cyprus and Gibraltar,[10] but had to wait until 28 January 2018 to make his debut, in a friendly game against United States.