However, the Arsenal did not bid for Praet before the close of the summer transfer window, despite the player having a €26m (£23.2m) release clause.
It now seems Sampdoria want to offer a contract extension to the 24-year-old, and increase his buyout fee in the process, with the midfielder now attracting the interest of Juventus, Inter Milan, Roma and Napoli.
Praet has been sidelined with a knee injury for a few weeks and has only played once so far this season. He started the 1-0 win over Viterbese in the Coppa Italia back in mid-August.
Last season, he was ever-present alongside Torreira in the heart of Sampdoria’s midfield, making 35 league appearances.