Frati has recorded with various labels, most notably: Antonio Vivaldi and A. M. Giuliani's Concerto for Mandolin (Erato); Johann Hummel's Opera Omnia for Mandolin and Neapolitan Concertos for Mandolin (Dynamic); G. G. Boni’s Sonatas for Mandola (Tactus); with the Philharmonic of La Scala she recorded the soundtrack of a movie by Nino Rota (Sony) and Otello (EMI); with the Pavarotti International recorded for Decca; also recorded for Stradivarius, Agorà and Ducale.
Ghirlanda sacra complete, 3CDs recorded 2011, released Tactus 2013
Artists who made their early recordings on Tactus include Rinaldo Alessandrini and Filippo Maria Bressan.