Cadena SER report that Florentino Perez is keen to sign the duo, both of whom are likely to leave their clubs this summer.
However they may face a challenge to win the race to sign both, with Isco possibly joining his manager Manuel Pellegrini in moving to Manchester City, and Lewandowski likely to go to Bayern Munich.
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Chelsea legend Didier Drogba has revealed his top 11 Chelsea career moments during his recent interview on Chelsea TV.
The start of the 2017-18 Premier League season is just around the corner and is shaping up to be one of the most competitive yet.