She completed her studies at the Paris Music Conservatory, where she was a pupil of Louis Noguéra and Charles Panzéra.
Esposito was then quickly invited to all the major opera houses of France, including the Paris Opéra-Comique, singing the standard French light lyric repertory: Olympia in Les contes d'Hoffmann, Philline in Mignon, Mireille, Micaela in Carmen, Leila in Les pêcheurs de perles, Lakmé.
Other roles there included, Rosina in Il barbiere di Siviglia, the title role in Lucia di Lammermoor, Gilda in Rigoletto, Xenia in Boris Godunov, Marguerite in Faust, Juliette in Roméo et Juliette, as well as Massenet's Manon and Thais.
She participated in the creation of many contemporary works, such as Le chevalier de neige by Delerue, Andrea del Sarto by Daniel-Lesur, The Mines of Sulphur by Bennett, and The Devils of Loudun by Penderecki.
Esposito was married to French baritone Julien Haas, with whom she often appeared on stage, the two were also active as voice teachers at the Strasbourg Music Conservatory.