(CNN) As the football season begins to wind down, the cogs in the transfer rumor machine inevitably begin to turn ahead of a summer window in which the world's best players are predicted to move clubs.

Real Madrid -- which endured the most defeats in a season since 1995-96 and is gearing up to spend hundreds of millions on a squad revamp -- is reportedly the likely destination for the likes of Eden Hazard and Paul Pogba.

Another player reportedly to be top of Los Blancos' shopping list is Paris Saint-Germain's young superstar Kylian Mbappe.

Following a disappointing end to the season that saw PSG eliminated from the Champions League , lose in the French Cup final and stutter over the line to win Ligue 1, a summer of uncertainty over the team's future is the last thing it needs.

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