Schuurs has been heavily linked with a move to the Premier League this summer and the player has admitted that he is not sure about his long-term future at Torino.
The Dutchman is being heavily courted by Liverpool, who have already failed with a bid for him and even West Ham are interested in him.
But Crystal Palace have barged into the race by tabling a €35m offer and have also offered the defender a four-year contract.
According to Italian daily La Stampa (via Tutto Mercato), Schuurs has received an offer worth €2.5m per year from the south London club.
If he agrees to the move, it would be a considerable rise from what he is earning at Torino at the moment.
Crystal Palace believe that they have made a solid offer to both the club and the player for a potential deal.
They are hoping to work out a deal with Torino soon and convince Schuurs to accept a move to Selhurst Park this summer.
