Valencia defender Nicolas Otamendi's representatives are still fielding offers.
While Otamendi has now joined Valencia's preseason camp, the Argentina defender's future remains clouded.
Super Deporte says Manchester United, Manchester City, Chelsea and PSG have all made proposals to agent Jorge Mendes, who is handling all negotiations.
Bayern Munich have also come forward this week to register their interest.
United may step up their pursuit of Otamendi with Sergio Ramos having committed to a new Real Madrid deal this week.