Cristiano Ronaldo has already departed the Santiago Bernabeu this summer and Modric could be the next high-profile figure to head for the exits.
Madrid are reluctant to part with a proven performer, even at 32 years of age, but talk of a big-money switch to San Siro refuses to go away.
Spalletti has helped to keep the transfer rumour mill ticking over by refusing to rule out a deal for Modric, telling Sky Sport Italia after an International Champions Cup clash with Lyon: “A player of that calibre would be important for any club, let alone us.
“I will keep on dreaming with the fans.
“But whatever happens we have all of our cards in order to deal with anything.
“There are still a few days left in the window and if at the last moment I am given [Lionel] Messi, I would gladly accept that!”
While Inter are ruling nothing out at this stage, those in Madrid are doing their best to bring the exit talk to an end.
Blancos president Florentio Perez has no desire to part with Modric and has claimed that he will only be sold if a €750 million (£670m/$870m) release clause is met.
He told reporters: "The only possibility that Modric leaves is by paying €750 million.”
Modric joined Madrid in 2012 and has made 257 appearances for the club.
A productive spell in Spain has delivered one La Liga title, the Copa del Rey, three Club World Cup wins and four Champions League triumphs.