Vlasic has been vocal about wanting to return to Torino after spending last season on loan at the Serie A club.
Torino decided against taking up the €13m option on him earlier in the window with the hope of getting the deal done for a lower fee.
After weeks of brinkmanship between the two clubs, Torino recently tabled an improved offer of €10m this summer.
And according to local daily Tuttosport (via Tutto Mercato), the two clubs are getting closer to agreeing on a fee for the midfielder’s sale.
West Ham have revised their asking price for the Croatian and are prepared to accept a fee of €12m.
The two clubs are in negotiations and there is expected to be a summit between the two clubs in the coming days.
Vlasic is pushing for the move and is waiting for the two clubs to work out an agreement over a fee.
