The Englishman is set to leave LA Galaxy and is weighing up where to make his last move to.
Monaco chief executive officer Tor-Kristian Karlsen told BBC Sport: “We are happy with our current squad.
“But if there’s a chance to get a player of Beckham’s stature, we’d be foolish not to explore it.”
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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.