Marković studied conducting at the Universität für Musik und darstellende Kunst (Vienna), in the class of Leopold Hager.
He earned a Diploma d'onore at the Accademia Musicale Chigiana in Siena, where he attended a master class in conducting.
In 2003, he won the First Prize at The Grzegorz Fitelberg International Competition for Conductors (7th) in Katowice, Poland.
[1] Marković was a chief conductor of Tyrolean Opera House (Tiroler Landestheater Innsbruck), from 2005 to 2008.
He was a Music Director and Principal Conductor of the Brno Philharmonic Orchestra from 2009 to 2015.