Kammala wannan jumla: Sofia ta nemi ta karbi bakuncin wasannin Olympics na hunturu a 1992 da kuma 1994, inda ta zo ta biyu da ta uku. Birnin kuma ya kasance mai neman izinin gasar Olympics ta hunturu ta 2014, amma ba a zaba shi a matsayin dan takara ba. Bugu da ƙari, Sofia ta karbi bakuncin EuroBasket 1957 da 1961 da 1977 Summer Universiades, kazalika da gasar cin kofin duniya na duniya na duniya.
1983 da kuma 1989 hunturu bugu. A cikin 2012, ya karbi bakuncin wasan karshe na FIVB World League.