Liverpool have had a bid rejected by Torino for Schuurs and they have also been in contact with the player and his representatives.
Tottenham have also been interested in signing him and have offered the Dutchman a contract worth €2m per year.
But for now, Crystal Palace have the edge in the race to sign the centre-back over their other Premier League rivals.
According to DAZN Italia, the defender has worked out personal terms on a contract with the Eagles.
The Torino defender has given his nod of approval to a four-year contract worth €3m plus bonuses.
Crystal Palace have also tabled a bid worth €35m and are waiting for Torino to make up their mind.
The centre-back has remained a model professional behind the scenes and has continued to train with the squad.
However, he has already indicated that might not be playing for Torino in the 2023/24 season.
It remains to be seen if Palace can see off their Premier League rivals to land Schuurs.
