Her first international competitions were the 1982 European Championships where she won three bronze medals (all-around, 1,000 m and 1,500 m) and a silver medal in the 500 m. Next year she won a silver and a gold medal in the 500 m at the European and World All-around Championships, respectively, and finished eights overall. At the 1984 World Championships she again won silver in the 500 m. During her career, Glebova won six national titles: all-around in 1983, sprint all-around in 1984, 1,000 m in 1982 and 1984, 3,000 m in 1983, and 5,000 m in 1983. She retired after the 1988 Olympics.[1]