Vulikić was a member of the Serbian U-18 national basketball team that won the gold medal at the 2017 FIBA Europe Under-18 Championship. Over seven tournament games, he averaged 6.0 points, 3.0 rebounds and 4.9 assists per game. Also, he was a member of the Serbian U-16 national basketball team that participated at the 2015 FIBA Europe Under-16 Championship. Vulikić was a member of the Serbian under-20 team that finished 15th at the 2019 FIBA U20 European Championship in Tel Aviv, Israel. Over seven tournament games, he averaged 6.9 points, 2.0 rebounds, and 2.1 assists per game.