Garayeva won bronze at the 2010 World Championships in the individual apparatus finals in ball, ribbon and hoop. She also won the all-around bronze medal at the 2010 European Championships. The following year, Garayeva won the all-around bronze medal at the 2011 World Championships in Montpellier, France. She then competed at the Grand Prix Final and won bronze in all-around, as well as bronze in hoop, ball, clubs and ribbon finals.