He joined Quilapayún in 1967 to replace Julio Numhauser (who left the group) and he rapidly become the most distinctive and loved member of the musical ensemble.
He was the solo vocal on a number of songs, including Canto a la Pampa and Mamma mia dame cento lire of the X Vietnam album, La Carta from the Basta album, Soy obrero pampino... of the Cantata Santa María de Iquique, and Pido Castigo.
He was a lover of Argentine folk music (especially of tangos and zambas) and a great fan of Carlos Gardel and Los Fronterizos.
[1] Oddó was on tour in France as part of Quilapayun when on September 11, 1973 a US-backed military coup overthrew the democratically elected socialist government of Salvador Allende – who had appointed the group the role of "cultural ambassadors".
Oddó, along with the other members of Quilapayun, remained in exile until 1988 when the Pinochet dictatorship began to lift some of the controls it had on its political opponents.