Roma are increasingly focusing their attention on current Torino director of sport Gianluca Petrachi as a replacement for Monchi.
After the Spaniard walked away for a return to his old club Sevilla, the race was on to find a new director of sport.
Contenders include Lille chief Luis Campos, but the new hot favourite is Petrachi.
According to La Stampa newspaper, there is a basic agreement between Petrachi and Roma for their reunion this summer.
Torino are a big obstacle, though, because his contract runs to June 2020 and Granata President Urbano Cairo is not eager to let his right-hand man go.