Obradović won the bronze medal at the 1999 FIBA European Championship in France averaging 9.2 points, 1.2 rebounds, and 1.8 assists per game over five tournament games. He missed three all three games in the Knockout stage due to injury. In the next year, Obradović played at his second Olympics. Over seven Olympic tournament games in Australia, he averaged 6.6 points, 1.6 rebounds, and 1.7 assists per game.