Jose Sosa Esquivel studied singing with the professor José Pierson, and the contralto Fanny Anitùa, at the Academia de la Ópera de Bellas Artes (Opera Academy of Fine Arts).
He debuted in 1950 at the Palacio de Bellas Artes playing the role of Azael on Debussy's L'Enfant prodigue.
He sang in the opera seasons of Bellas Artes in Mexico City, Guadalajara, Veracruz, Guanajuato and Monterrey.
In 1953, he played the roles of Prince Vasiliy Ivanovich Shuysky and Yurodivy in Boris Godunov, next to Nicola Rossi-Lemeni.
He sang in productions like L'elisir d'amore, La traviata, Madama Butterfly in the roles of Pinkerton and Goro, Pagliacci in the role of Beppe, Mefistofele, Trionfo di Afrodite -at its premiere in Mexico-, Orphée aux Enfers, Tosca as Spoletta, L'amore dei tre re, Fedora, Andrea Chénier, L'amico Fritz, Carmina Burana and La bohème.