Tutto claim that Torino boss Sinisa Mihajlovic admires the 20-year-old’s talent and is ready to move him to the Stadio Olimpico Grande.
The club offered Maxi Lopez for the Ghana international in a failed swap deal with Bologna in the January transfer window.
The report said talks are set to begin with the Turin-based club ready to splash out 10 million euros to land the former Ghana Under-20 World Cup star.
The deal could pave way for the exit of compatriot Afriyie Acquah, who has been linked with a number of clubs in the English Premier League and Serie A.
Donsah has featured 55 times in the Italian league for Bologna since joining the side two seasons ago.