Torino sports chief Gianluca Petrachi is in contact with AS Roma.
Roma are still to find a replacement for Monchi, after he left to return to Sevilla last month.
Gazzetta dello Sport says Roma president James Pallotta is set to have Petrachi fly to Boston early next month for talks.
Petrachi is happy to work alongside any assistants, but will insist on full control over transfer policy.
A former Serie A player, Petrachi also had a stint in England with Nottingham Forest.