I'm pretty confident Robin will stay, not because of his love for the club, but because I can't see him joining any clubs other than Barca or Real both of which are not interested. Italian clubs are highly unlikely and he probably won't join another English club so I don't see him leaving this summer.
Whether he signs a new contract we'll have to wait and see. He might leave on a free next summer which will attract more offers, or he might sign a big sign on bonus contract from us similar to Henry in 2006.