Ronaldo threw his future into doubt in May by talking about Real Madrid in the past tense after beating Liverpool in the Champions League final, voicing frustration over long-stalled talks with club president Florentino Perez about an improved contract.
The Italian news media outlet claim the Real Madrid superstar is looking for a new challenge after nine years with Los Blancos and winning every trophy on offer.
He moved to Manchester United in 2003 before signing on with Madrid in 2009.
Portugal-Uruguay more than CR7 vs Suarez, says Alves
When the inevitable question about Portugal's record goal-scorer Ronaldo came, the 63-year-old's face broke into a grin. Uruguay also have a reputation as World Cup party poopers - including Ghana in 2010 - and history is on their side.
He scored four goals in four games for Portugal at the 2018 World Cup.
There has been so much chatter over a move that Real released a statement on Monday denying their interest.
Mbappe joined PSG previous year on an initial loan deal that will become permanent this summer in a deal that will see him become the second most expensive player in history. The deal, however, could be in jeopardy after UEFA, European soccer's governing body, announced it will review the decision to clear the French club of breaking Financial Fair Play rules.