Mancini was appointed last week, the first permanent coach since Giampiero Ventura was fired in November for failing to qualify for the 2018 World Cup.
He'll make his Nazionale debut in San Gallen, Switzerland, on May 28 against Saudi Arabia.
Mancini named an initial 30-man squad that will meet at Coverciano on the evening of Wednesday May 23.
Defenders: Leonardo Bonucci (Milan), Mattia Caldara (Atalanta), Domenico Criscito (Zenit), Danilo D'Ambrosio (Inter), Mattia De Sciglio (Juventus), Emerson Palmieri Dos Santos (Chelsea), Alessio Romagnoli (Milan), Daniele Rugani (Juventus), Davide Zappacosta (Chelsea);
Midfielders: Daniele Baselli (Torino), Giacomo Bonaventura (Milan), Bryan Cristante (Atalanta), Alessandro Florenzi (Roma), Jorginho (Napoli), Rolando Mandragora (Crotone), Claudio Marchisio (Juventus), Lorenzo Pellegrini (Roma);
Forwards: Mario Balotelli (Nice), Andrea Belotti (Torino), Domenico Berardi (Sassuolo), Federico Bernardeschi (Juventus), Federico Chiesa (Fiorentina), Ciro Immobile (Lazio), Lorenzo Insigne (Napoli), Matteo Politano (Sassuolo), Simone Verdi (Bologna), Simone Zaza (Valencia)