The midfielder, who has returned from holiday after Croatia's World Cup campaign, is now training with Madrid's Castilla side.
Modric was also awarded the FIFA World Cup Golden Ball in 2018.
But it has been claimed that Modric wants out of the Bernabeu outfit with the terms on offer with Inter dwarfing what he is now paid at Real - AS suggesting he would be paid €3.5m (£3.1m) a year extra. It's there he will have a meeting with Florentino Perez to discuss his future, although the president won't sell for less than the €750m stated in his buyout clause.
If Modric does want to leave, it would take quite an offer for him to do so.
Khabib vs McGregor set for October 6
Khabib Nurmagomedov for the lightweight title booked as the main event for UFC 229 on October 6 in Las Vegas. That was until UFC president Dana White revealed the mega-surprise of the afternoon: Conor McGregor vs.
"I think the president said it, I don't think there's much more to add", the manager told a news conference, according to FourFourTwo. "Luka Modric is an extraordinary player and we're waiting for him with open arms".
Il Giornale are reporting that Florentina Perez is happy to let one of his star players leave the Bernabeu this summer in something of a shock story. "We've enjoyed having him and we'll continue to do so".
TMW says Inter and Modric's camp have settled on a three-year contract for the Croatia global.