In 1988 she became the second wife of the pianist Daniel Barenboim. They had met in the early 80s, while Barenboim was still married to the British cellist Jacqueline du Pré. By the time Barenboim met Bashkirova, du Pré had been diagnosed for several years with multiple sclerosis. During the last years of du Pré's illness, Barenboim and Bashkirova lived together in Paris and two sons were born. David Arthur Barenboim, born in Paris in 1982, is now manager-writer for several hip-hop bands. Michael Barenboim, born in Paris in 1985, is a classical violinist.