[2][3] Grosheva took up gymnastics at the age of five and showed a natural talent for the sport.

At the 1994 Goodwill Games she had a stellar competition and one of the high points of her career, being a pivotal part of the Russian gold medal winning team, and winning bronze behind Dina Kochetkova and Shannon Miller, and ahead of such stars as Lilia Podkopayeva in the women's All Around.

In 1996, Grosheva finished second all-around in the Russian Cup and became a member of the Olympic team.

Her floor exercise scores had placed her highest among the Russians for event finals, but she was replaced by teammate Dina Kochetkova.

After being hampered by injuries Grosheva retired from the sport and joined Cirque du Soleil.