The midfielder has enjoyed a solid season under Ronald Koeman this season.
The Italian giants are currently enjoying a fine season under Luciano Spalletti as they sit third in the table behind Juventus and Napoli.
Despite that success, they are not resting on their laurels though and are making preparations for their work in the summer transfer window.
Chief among their thoughts is the future of midfielder Leandro Paredes, with the club undecided on whether to keep him at the club or allow him to leave.
Should it be the latter, there are several options they will explore as his replacement.
And Clasie is among those being considered alongside Monaco midfielder Joao Moutinho according to the CalcioMercato report.
The Dutch midfielder was an option for them last summer, which they decided not to explore.
He eventually made the move to Southampton to link up with Ronald Koeman and has enjoyed a solid first season at Saint Mary’s after missing the first two months of the campaign through injury.
They would not be keen on a sale either, especially if they are also to lose Victor Wanyama in the same transfer window.