It emerged last night that Hazard's father, Thierry, had offered his son to Real the week before the Champions League final in Kiev.
And despite the departure of Zinedine Zidane, a big fan of Hazard, Florentino remains determined to bring the Belgium captain to Madrid, says Marca.
Real intermediaries have been in touch with Chelsea and learned they're prepared to do business - at €120m.
For his part, Hazard's stand hasn't changed. The attacker is also keen to see the move happen, desperate to join a team capable of winning the Champions League.
Real will monitor his form at the World Cup with the aim of launching their bid next month.