Don Balon says Real president Florentino Perez assured Zinedine Zidane that he would move for Hazard after winning the 'Undecima' last year.
However, the move stalled after Morata refused to leave Real having been re-signed earlier this summer from Juventus.
Zidane, though, has never dropped his plans and has remained in touch with the Belgian this season.
The Real coach is confident a deal for the Chelsea star can be struck this summer - and has already recommended a local school to Hazard for his three children.
Zidane has also suggested Hazard take James Rodriguez's villa in La Finca when the Colombian is sold this summer.
Perez expects to do business with Chelsea for around €80 million.