The highly rated 29-year-old centre-back is contracted until 2018, and despite having a release clause of £28.5 million in his contract, he could be a more achievable target than Varane.
Mourinho has the second best defence in the Premier League but is keen to bolster his options with his captain, John Terry, turning 35 next season.
It is no secret that Mourinho rates Varane very highly, but the Real Madrid defender has featured in the starting lineup more often recently due to injuries to Carlo Ancelotti’s key men, Sergio Ramos and Pepe, and that will give him encouragement to stay and fight for his place.
Godin would be an ideal second choice for Mourinho, as he has had to deal with defending against some of the best players in the world at FC Barcelona and Real Madrid in recent years.
The Uruguayan international is also a real threat in front of goal and scored in Atletico’s Champions League final loss to their bitter rivals, Real last year, and could opt for a change as he is in his fifth year at the club.
A move to Chelsea would see Godin link up with former Atletico teammates Diego Costa and Thibaut Courtois, as another raid on the Spanish club looks likely.
Would Diego Godin be a good signing for Chelsea?