The Croatia captain has been linked with a Real Madrid exit having won La Liga once in 2016-17 and four Champions League titles, among many other trophy triumphs since his move from Tottenham in 2012.
Modric was included in Madrid's 29-man squad for Wednesday's UEFA Super Cup meeting with Atletico Madrid , although speculation regarding his future has refused to go away.
Indeed, Italian publication Corriere della Sera reported on Tuesday that Inter have not given up on signing Modric, and that the player will discuss his future with Madrid president Florentino Perez on Thursday.
And Modric's agent has talked up the 32-year-old's chances of moving to Italy, insisting that the midfielder has been thinking about playing a big role for Luciano Spalletti's side.
Marko Naletilic told Tuttosport : "Modric didn't just think about playing at Inter, he's really thrilled by the idea of having a big role with the Nerazzurri.
"I have the feeling that sooner or later, Modric will play in Italy: he grew up watching Serie A."
Modric was one of the stand-out performers at the World Cup, playing in all seven of Croatia's matches on his way to winning the Golden Ball, where they were eventually beaten in the final by France.
Perez and head coach Julen Lopetegui have been emphatic in their public assertions that Modric would not be sold, with the Madrid president joking that he can leave for his release clause value of €750 million (£670m/$870m) .
Modric has made 257 appearances to date for Real Madrid, scoring 13 goals.