The World Cup winner is still keen to leave Manchester United this summer, despite joining the club on their preseason tour of Australasia.
Real boss Zinedine Zidane still views Pogba as a priority signing, but he has to wait for the club to offload some of his squad.
Another crux in any potential deal is the fee United will demand for Pogba, which Real are yet to discuss with their Englishh counterparts.
Speaking at a press conference yesterday in Perth, Red Devils boss Ole Gunnar Solskjaer was defiant about Pogba's future.
"There has been loads of talks and speculation about many of our players, both ins and outs. For me, it's business as usual," the Norwegian said.
"As far as I'm aware and up until now, we don't have any bids for any of our players... Paul, or most of our players, [have] got long contracts."