He led the popular musical group Iveria since its founding in 1968 through the mainstream success in the 1970s and 1980s until his death of a long and severe disease in Germany in 2009.
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Basilaia was a principal composer and an art manager for Iveria which quickly gained popularity for its fusion of pop, rock and jazz with traditional Georgian music and attained to Soviet-wide fame with its musicals The Wedding of Jays (1980) and The Argonauts (1982).