The name Expósito stems from the fact that Homero's father had been an orphan and had decided to adopt this surname meaning of unknown origin.
[1] From a young age, Homero, along with his brother and the future famous drummer Tito Alberti, were part of an orchestra.
He created his first tango with his brother in 1938 entitled Rodando and sung by Libertad Lamarque without repercussion instruments.
On the same level with his work as an author, he dedicated himself to the organization of Argentine musicians, SADAIC, for which he was treasurer for many years.
He composed tangos, not only with his brother Virgilio Expósito, but with famous musicians like Aníbal Troilo (Te llaman malevo), Domingo Federico (Percal, Yuyo verde, Tristezas de la calle Corrientes, Al compás del corazón), Armando Pontier (Trenzas), Enrique Mario Francini (Ese muchacho Troilo), Héctor Stamponi (Flor de lino), Osmar Maderna (Pequeña), Argentino Galván (Cafetín) and Atilio Stampone (Afiches).