Baglietto was a member of various small bands until "Irreal" was formed, in 1980, comprising himself, Juan Chianelli (keyboards), Jorge Llonch (bass), "Piraña" Fegundez (flute), Alberto Corradini (guitar) and Daniel Wirtz (drums).

By this time, he had armed himself with a supporting group consisting of Silvina Garré as a backing singer, Fito Páez as keyboardist, Rubén Goldín on guitar, Sergio Sainz on bass and José "Zappo" Aguilera on drums.

Many of its tracks, like Mirta, de regreso or Era en abril, were widely played on the radio stations of the capital and this fuelled the success of his concert in Obras, right after the Falklands War.

In September 1986, he performed in front of an audience of 100,000 at the Monumento a la Bandera in Rosario, Argentina, as part of the festivals for "Mil Días en Democracia," (a thousand days of democracy) alongside Fito Páez, Silvina Garré y Antonio Tarragó Ros.

His next work, Ayúdame a mirar (1990), is a completely acoustic recording, with guitars and percussion, for which a variety of composers contributed tracks: Adrián Abonizio, Rubén Goldín, Chico Buarque, Mezo Bigarrena and Joaquín Sabina, among others.

In 1998, Juan Carlos Baglieto recorded the theme "Paths of the Soul" next to Kennedy Choir[2] and with more than 120 Argentine artists under the direction of Instrumental pianist and conductor Nazareno Andorno.