Was born in Lviv to composer Yury Ignatievich Varum and theater producer Galina Mikhailovna Shapovalova.
After high school, Varum applied to the Boris Schukin Theater Institute in Moscow, but could not pass the entrance exams.
In 1990, recorded a version of "Polunochniy kovboy" (Midnight cowboy) that soon became a hit, particularly after she performed it in the television show "Utrenneya zvezda" (Morning star) and at a concert at the Sports Complex "Olympic".
On the back of that initial success, Varum released her first album, "Good bye, moi mal'chik" (Good-bye, my boy).
She also appeared in a feature film, playing a leading role in Vasiliy Pichul's "Nebo v almazakh" (Night in diamonds).
The following year, Varum toured extensively with Agutin, giving live concerts in the United States, Germany, Israel, Belarus, Ukraine, and throughout Russia.
Created together with Al Di Meola and titled "Cosomopolitan Life", the album dropped in Europe in the spring of 2005 and quickly topped the charts.
In 2010 and 2011, Varum and Agutin gave a series of concerts in most of Russia's major cities, including a performance at the Kremlin in collaboration with the renowned Cuban musician Orlando "Maraca" Valle.