The Argentinian has become the latest casualty in a re-shaping Roma front line, after failing to impress during his first season at the club
According to Calciomercato.com, the Grifone would be a welcome destination for Iturbe.
Genoa recently sold Iago Falque to the capital side, leaving a need of a replacement.
A season-long loan would be on the cards, with an agreement close to completion.
The arrival of Edin Dzeko has prompted a huge reshuffle in the Giallorossi attack.
Chelsea loanee Mohamed Salah has also limited the opportunity of Iturbe getting first team football at Roma.
Iturbe has scored just twice in 27 appearances for the Giallorossi.
Seydou Doumbia, Mattia Destro and Daniele Verde have all departed as a result of the charges at Roma.
Both Adem Ljajic and Gervinho could also be leaving the capital before next week.
