Besides his work with the Moscow Soloists, Bashmet also regularly plays chamber music with other international soloists - for example at Verbier. Such artists include Argerich, Repin, Maisky, and previously Rostropovich and Vengerov. In May 2005 Yuri Bashmet appeared at Martha Argerich's Festival in Japan, and he returns there as a featured performer in 2007. His recording of Brahms' Piano Quartet with Argerich, Kremer and Maisky is available on Deutsche Grammaphon.

He also maintains a partnership with Austrian mezzo soprano Angelika Kirchschlager and genial French pianist Jean-Yves Thibaudet, which typically involves the rediscovery of repertoire for the unusual combination of voice, viola and piano (over and above Brahms Op 91 songs), as well as specific commissions for the trio.

Another equally successfull collaboration is with fellow string players Victor Tretiakov, Vassily Lobanov and Natalia Gutman, with whom he regularly gives quartet concerts. Together they have appeared throughout Europe, giving concerts in Germany, Portugal, Greece, Belgrade, France and Belgium.