Bologna midfielder Roberto Soriano is back in the fold four years after his previous call-up, while Domenico Criscito returns for the first time since October 2018.
Gianluigi Donnarumma, Alex Meret, Leonardo Bonucci, Alessandro Florenzi, Jorginho, Federico Chiesa, Lorenzo Insigne and Moise Kean have all been given permission to join up with the team the day before that match.
The rest of the squad will convene on Sunday, or as soon as they have completed any necessary period of isolation.
Mancini has tested positive for coronavirus and will reportedly not be in the dugout against Estonia, with assistant manager Alberigo Evani set to temporarily take charge of first-team affairs.
Italy squad:
Alessio Cragno (Cagliari), Gianluigi Donnarumma (Milan), Alex Meret (Napoli), Salvatore Sirigu (Torino); Francesco Acerbi (Lazio), Cristiano Biraghi (Fiorentina), Leonardo Bonucci (Juventus), Davide Calabria (Milan), Domenico Criscito (Genoa), Danilo D Ambrosio (Inter), Giovanni Di Lorenzo (Napoli), Emerson Palmieri (Chelsea), Alessandro Florenzi (Paris Saint-Germain), Gianluca Mancini (Roma), Angelo Ogbonna (West Ham), Luca Pellegrini (Genoa), Alessio Romagnoli (Milan), Leonardo Spinazzola (Roma); Nicolo Barella (Inter), Gaetano Castrovilli (Fiorentina), Bryan Cristante (Roma), Roberto Gagliardini (Inter), Jorginho (Chelsea), Manuel Locatelli (Sassuolo), Lorenzo Pellegrini (Roma), Matteo Pessina (Atalanta), Roberto Soriano (Bologna), Sandro Tonali (Milan); Andrea Belotti (Torino), Domenico Berardi (Sassuolo), Federico Bernardeschi (Juventus), Francesco Caputo (Sassuolo), Federico Chiesa (Juventus), Stephan El Shaarawy (Shanghai Shenhua), Vincenzo Grifo (Freiburg), Ciro Immobile (Lazio), Lorenzo Insigne (Napoli), Moise Kean (Paris Saint-Germain), Kevin Lasagna (Udinese), Riccardo Orsolini (Bologna), Pietro Pellegri (Monaco).