Moscow Soloists Chamber Orchestra made its debuts on 19 May 1992 at the Great Hall of the Moscow Conservatoire. The orchestra has performed with great success at many famed and prestigious music venues such as Carnegie Hall in New York, the Great Hall of the Moscow Conservatoire, the Concertgebouw in Amsterdam, Suntory Hall in Tokyo, the Barbican Hall in London, the Tivoli in Copenhagen, the Berliner Philharmoniker and in Wellington (New Zealand).

The orchestra has performed with soloists including Sviatoslav Richter (piano), Gidon Kremer (violin), Mstislav Rostropovich (cello), Viktor Tretyakov (violin), Maxim Vengerov (violin), Vadim Repin (violin), Sarah Chang (violin, USA), Barbara Hendricks (soprano, USA), James Galway (flute, USA), Natalia Gutman (cello), Lynn Harrell (cello, USA), Mario Brunello (cello, Italy) and Thomas Quasthoff (bass, Germany).

In 1994 the Moscow Soloists with Gidon Kremer and Mstislav Rostropovich recorded a compact disc for EMI. A disc of works by Dmitry Shostakovich and Johannes Brahms with Sony Classics was named “best recording of the year” by STRAD magazine critics and nominated for a Grammy. The orchestra received a repeat Grammy nomination in 2006 for a disc of chamber symphonies by Shostakovich, Georgy Sviridov and Mieczysław Weinberg. In 2007, the Moscow Soloists won a Grammy award for a recording of music by Igor Stravinsky and Sergei Prokofiev.