Born in Sombor, Bošković started playing handball at Crvenka.
Between 2010 and 2017, Bošković spent five seasons with Maccabi Tel Aviv on three occasions, winning two national championships in 2014 and 2016.
[1][2] At international level, Bošković represented Serbia at the 2016 European Championship.
[3] Bošković committed suicide by gunshot at his home in Crvenka on 3 February 2019.
[4] He was survived by his wife and his daughter who was born a few months prior to his death.