Chelsea are long-term admirers of the 21-year-old centre half and Jose Mourinho is thought to be keen to strengthen his defence.
Manchester United meanwhile are desperate to add a world-class defender to their ranks and have also been credited with a serious interest.
But Varane was coy when pressed about his future at the Bernabeu after Real's 2-0 win over Rayo Vallecano last night.
I am focused on our season and we are going to give everything to win it all
Raphael Varane
"I am focused on our season and we are going to give everything to win it all," he said.
"I am happy here."
GETTY
Raphael Varane is a wanted man
Reports on the continent suggest a bid of £30million could be enough to lure Varane from Spain.
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