Since then, the event has been attracting the attention of the musical public every four years in autumn, bringing to Croatia's capital young conductors eager to find an incentive at the start of their careers.
In the previous four Competitions the candidates were evaluated by Milan Horvat, Valter Dešpalj, Kazushi Ono, Krešimir Šipuš, Klaus Arp, Pavle Dešpalj, Uroš Lajovic, Vladimir Krpan, Vjekoslav Šutej, Berislav Klobučar, Pascal Rophé, Gianpaolo Coral, Vladimir Benić, Zoran Juranić, Stanko Horvat, Nikša Bareza, Dmitri Kitayenko, Martin Sieghart, Simone Young, and many others.
The importance of the award received from the Lovro von Matačić International Competition for Young Conductors is evident from the careers achieved by the winners of previous Competitions: although the first prize of 1995 was not awarded, the second prize winner Dmitri Liss is now the chief conductor of the Uralian Philharmonic Orchestra, and the associate conductor of the Russian National Orchestra.
On that occasions, Alan Buribayev of Kazakhstan won the Competition to become the chief conductor of the Irish National Radio Television Orchestra in Dublin in 2010/2011, and the leader of symphony orchestras of Norrkoping, Sweden and Brabant, Netherlands.
The winner of the last Competition in 2007 was Jimy Chiang Chi-Bun, born in Hong Kong, who has conducted the Vienna Radio Symphony Orchestra, staged G. Ligeti's Le Grand Macabre in Spain and in 2010 debuted with La Traviata at the Berlin Comic Opera.