Benfica want Mattia Perin at pre-season training within 48 hours, raising their offer to €15m for the Juventus goalkeeper and flying in for talks.
According to La Gazzetta dello Sport, director Manuel Rui Costa personally called Perin to discuss the move and convince him to accept this new adventure.
The shot-stopper would have a four-year contract worth €2.5m per season plus performance-related bonuses.
Perin left Genoa for Juve last summer, but made only nine competitive appearances and would be further pushed down the pecking order by the return of Gianluigi Buffon.
There are even reports on Sky Sport Italia that agent Alessandro Lucci will meet Benfica President Luis Filipe Vieira to work out the final details.
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