Branković won the 100 metres at the Yugoslavian championships, but it was over the longer sprint distance that he excelled that year. He won the 400 m gold medal at the 1992 European Athletics Indoor Championships – an achievement which proved to be the pinnacle of his individual running career. Owing to the dissolution of Yugoslavia, he was one of nine athletes to compete independent of a nation at the 1992 Summer Olympics. He reached the quarter-finals of the 400 m at the Games of Barcelona. Branković was a representative of Europe at the 1992 IAAF World Cup and came fifth overall in the 400 m. For his achievements that year, the sports daily "Спорт" nominated him for their "Golden Badge", recognising him as their Yugoslav sportsman of the year.