Born in the Prostejov, Czech Republic, Bures currently studies civil engineering at the Czech University of Technology. Playing from the young age of 7, Bures soon belonged to the top Czech Youths representing his country on various World Youth and European Youth Championships. His best result is 18th place in the 2007 World Youth Championship in Kemer-Antalya, Turkey. He became an International Master in 2011 and has continued to play in both tournament and league games. He also placed 3rd in GM Invitational in Hungary, and 1st in IM Invitational in Czech Republic.