Marco Asensio recently had to deny a move to Liverpool and Mateo Kovacic told to Marca that he wishes to leave the club.
Real are unsurprisingly not considering letting him go following the departure of Cristiano Ronaldo - but Modric may force their hand. Unsurprisingly, the Nerazzurri are said to have reacted enthusiastically to the possibility of securing the Croatia captain's services - but are aware that, even if the player himself is looking to leave Real after six years at the Bernabéu, making such a deal happen will be far from straightforward.
They will play in the group stage of the Champions League this term. If a deal doesn't materialise for Modric, Madrid will feel obligated to offer the midfielder an improved contract.
The other big issue facing Inter Milan is Modric's current deal.
Croatia worldwide Modric, named the best player at the World Cup, renewed his contract at the Bernabeu in November 2016 and it is set to run until 2020.
Modric's star rose to new heights this summer in Russian Federation as he helped lead Croatia to the tournament final, where they ultimately fell 4-2 to France.
Modric is due back in Madrid to begin preseason training on Sunday, along with Mateo Kovacic and Raphael Varane who also took part in the World Cup 2018 final.
Florentino Perez has a track record of being reluctant to give out extensions or pay rises for players over 30 at Madrid, however, one hopes that he could make an exception for Modric.