He also won the best player award (Golden Ball winner) of the competition.
But Madrid president Florentino Perez has already attempted to quell any notion of Modric leaving, saying that he will only be sold if a €750 million (£670m/$870m) release clause is met , and the club's manager has now backed those words.
"We will see him when we get back [to Spain] on August 8 and we'll see if he is available on the 15th in our first key match". Inter want to take Modric on-loan for a year with the option to buy.
He looks set to quit Real, who value the 24-year-old at around £60m.More news: Facebook deletes InfoWars pages
"The president [Florentino Perez] was clear and unequivocal", Lopetegui said. "Luka Modric is an extraordinary player and we're waiting for him with open arms". He'll be happy with the proposal he receives here.
"I answered that the other day", Lopetegui told reporters when asked about Modric's future.
If Real Madrid agree to pay this sum then Juventus will make a move for Lazio midfield general Sergej Milinković-Savić a type of player Allegri would love to have in his team.
Modric has two years remaining on the contract extension he signed in October 2016.