Despite his reservations about the Manchester United midfielder, Sport says Florentino has told Zidane they will make a new move for the Frenchman this summer.
The president sees the upcoming transfer window as Real's best chance to land Pogba at an affordable price. Florentino was quoted €180m last year by United chief Ed Woodward.
Along with Florentino, Woodward also agrees this is the best moment to sell Pogba, with the player having a year to run on his existing deal.
It's understood United would be willing to sell for around €100m.