Dimitri Payet's displays over the last year have made him a target for some of Europe's elite clubs.
France's Dimitri Payet was instrumental in their opening Euro 2016 victory over Romania
Payet, 29, was a sensation for the Hammers during this past season following his move from Marseille, and he has managed to once again establish himself in the France national team.
West Ham's Dimitri Payet scores a wonder goal for France
It was reported here on HITC Sport last week that the East London club value their 29-year-old star at £60 million, so it would seem that Madrid's potential offer would fall some way short of the asking price.
The worry for West Ham fans is that when the La Liga giants set their sights on someone, they more often than not get their man, with the signings of David Beckham, Cristiano Ronaldo and Gareth Bale bearing testament to that.
West Ham's Dimitri Payet has reportedly attracted the interest of Real Madrid
West Ham's transfer activity and ambition shown in the market will likely prove vital if they are to keep the France international. He is the type of player who deserves to showcase his talent on Europe's biggest stage, and in what are the prime years of his career, if West Ham cannot provide him with Champions League football, who could blame him for seeking pastures new?
One key factor in the Hammers' favour, however, is the bond that Payet has developed with the West Ham faithful. He is their hero, and seems to thrive on the responsibility of expectation. If an offer from Madrid does materialise, it will be interesting to see his stance on the matter.
It could be a long summer ahead for West Ham.
Will West Ham be able to hold on to Payet?