Since the start of the month, Ronaldo has been heavily linked with a switch to Juventus after nine successful years at the Bernabeu where he has scored 450 goals in 438 appearances.
Juventus are said to be keen to get a deal over the line as soon as possible, and according to Sky Sports News, club president Agnelli is looking to speed up negotiations.
The report claims that Agnelli is making the trip to Greece - where Ronaldo is currently spending time after featuring at the World Cup - and positive talks could lead to a deal being completed sooner rather than later.
Agent Jorge Mendes will allegedly hold discussions with Real's hierarchy to confirm that Ronaldo would prefer to take on a new challenge next season.
Should a transfer go through, Real are likely to receive a fee in the region of £88m from the Italian giants.