The Frenchman is about to enter the final year of his contract and does not look close to agreeing to new terms, leaving Real Madrid with a big call for him.
Los Blancos are said to be willing to let Varane go for £ 60milion, otherwise, they risk losing a defender for a free transfer within a year.
According to Marca suggests Madrid are preparing for a week of visitors, with many players likely to leave the club after their final game of the season on Saturday.
Varane is among those La Liga giants feel could continue in the next few months after being approached by foreign clubs.
The 28-year-old, who has spent the past 10 seasons at the Bernabeu, is also rumored to be a Premier League rival, Chelsea.