He participated in four World Artistic Gymnastics Championships between 1983 and 1991. In the 1983 World Artistic Gymnastics Championships, he helped the Israeli team finish 25th overall while he placed 94th in the individual all-around. In the 1987 World Artistic Gymnastics Championships, Levi competed in the team (23rd) and individual (106th) events at the Championships; he competed exclusively in the team event in the 1989 World Artistic Gymnastics Championships and the 1993 World Artistic Gymnastics Championships (Israel finished in 22nd place both years). In 1990, Levi was also a member of the Israeli team at the European Men's Artistic Gymnastics Championships, and came in 53rd in the individual all-around.