Barrenechea, an Argentine player, previously played for Juventus before joining Villa last summer. He spent the second half of last season on loan with Valencia in Spain.
Discussions are ongoing between the agents and Bologna, but a key issue to resolve is the player's value. Villa is asking for €15 million, while Bologna is initially offering €10 million.
Barrenechea is not the only team's target; Porto and Benfica are also interested in signing him. However, the prospect of playing in Serie A and his familiarity with the Italian league could give Bologna an advantage in negotiations.