The Blancos defender has offered an invitation his international team-mate to join him at Santiago Bernabeu amid speculation over the Bianconeri starlet's future this summer
Since leaving Manchester United in the summer of 2012, Pogba has established himself as a regular for the Bianconeri alongside the likes of Andrea Pirlo, Arturo Vidal and Claudio Marchisio.
"I have no information about any move," the 20-year-old told French football programme Telefoot. "But personally, if it happens, I'd be very happy. I would love to play with him, but it's not my decision obviously."
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Varane and Pogba are both regarded as two of the best young prospects in Europe and have established themselves in the France national team, making their debuts in the same game - a 3-1 win for les Bleus over Georgia last March in 2014 World Cup qualifying.