La Gazzetta Dello Sports says Juventus are looking to keep Poulsen as Cristiano Zanetti looks set to join Fiorentina and Mohamed Sissoko is struggling with a injury.
Fiorentina are keen to bring in Zanetti as a replacement for Felipe Melo, who joined Juventus earlier this summer.
Poulsen has previously been linked with a move to Premier League side Liverpool.
