Lobacheva and Averbukh teamed up in 1992 after falling in love while skating in the same group but with different partners.[1]
After the Goodwill Games in the summer of 1994 their coaches moved to Delaware, USA, with many of their students to train at the University of Delaware. A year later, Lobacheva / Averbukh joined them.[1]
In September 2001, Lobacheva injured her left knee in training, causing them to miss the Grand Prix season.[1] They won the silver medal at the 2002 Olympics behind Marina Anissina / Gwendal Peizerat.