1992 saw Fleming making her debut with Grand Théâtre de Genève as Fiordiligi in Mozart's "Così fan tutte", and she sang the role of Anna in Boieldieu's "La dame blanche" at Carnegie Hall with the Opera Orchestra of New York and the role of Fortuna in Mozart's "Il sogno di Scipione" at Alice Tully Hall, as part of Lincoln Center's "Festival of Mozart Operas in Concert".