Real Madrid are desperately looking to strengthen the midfielder as the top-priority for the summer.
The Real boss Carlo Ancelotti claimed on Monday that there would be no signings until the after the World Cup.
Although the club are planning to renew his deal when he recovers from injury, Sami Khedira has travelled to Brazil without signing a contract extension – the only player, alongside with Karim Benzema, whose contract expires next season.
Regardless of what happens with Khedira, Real are considering adding a midfielder to the squad this summer, and Ancelotti already has already indentified his priority targets.
The Italian coach has earmarked Chelsea star Ramires as one of his prime targets. Los Blancos have also been linked with Manchester United target Tony Kroos and Juventus duo Paul Pogba and Arturo Vidal.
Vidal was targeted by Ancelotti last summer but a number of factors prevented Real from concluding the deal. Vidal's price tag, the signing of Asier Illarramendi, the preliminary agreement made with Borussia Dortmund to sign Ilkay Gundogan and the purchase of Gareth Bale all contributed to Ancelotti missing out on the Chilean in the summer transfer window.
Los Blancos' first choice was Pogba but with Juventus unwilling to listen to offers below €60m, and with Kroos ready to stay at Bayern Munich until his contract expires next season, Real president Florentino Perez is ready to do every thing in his power to secure Ramires from Chelsea no matter of the costs.
And, according to Spanish reports, as Chelsea could be back in for Khedira with Jose Mourinho said to be keen on bringing his former central midfielder to Stamford Bridge in the summer, both clubs could consider a swap.