[2] Despite his training in opera, he dedicated his career to popular song, reaching international recognition and becoming one of the main interpreters of Agustín Lara.

It was in Colegio Francés de La Salle where he was given a scholarship to study piano and solfeggio and where he met the composer and tenor Mario Talavera –his guide and mentor– who recommended him to Professor José Pierson [es].

On his first visit to Buenos Aires he recorded two of his own compositions for the RCA Victor label: "Porteñita mía" and "Me fui", with musical backing from pianist Agüero Pepe and the legendary violinist Elvino Vardaro.

On 12 September 1931, he married María Teresa Camo Jáuregui, who came originally from a Querétaro family and with whom he had four children, Pedro, Mario, Marcelo and Alejandro.

Pedro Vargas died due to complications with his diabetes while sleeping and suffered from a heart attack, 30 October 1989, in Mexico City, at the age of 83.