The band name refers partly to Sai Baba, the Indian guru, and partly to a local toy gun called "La Pistola Sónica" The lead singer Adrián "Dárgelos" Rodríguez and the keyboardist Diego "Uma-T" Tuñón initially decided to create a new style, which would not follow the established Argentine music.

In 2001, the band released Jessico, their most commercially successful and critically acclaimed album up to that point, reaching a broad mainstream audience with singles like "Los Calientes", "El Loco" and "Deléctrico".

[1] The following records, Infame (2003), Anoche (2005) and Mucho (2008) continued with a streak of critical praise and commercial success, each one being selected by several media outlets as one of the best Argentine albums of their respective years.

[2] Babasonicos also composed the soundtrack for Vera Fogwill's movie Las Mantenidas Sin Sueños (Kept and Dreamless), which was released in 2007.

On January 12, 2008, the band posted an entry on their official site in which they informed that their longtime bassist, Gabriel Manelli had died as a result of Hodgkin's disease, which he had been suffering since the tour supporting the album Infame.