However, they have decided not to pursue a signing at this stage, with PSG, Bayern Munich, Manchester United and Juventus all monitoring the 15-year-old Portuguese winger.
O Jogo reported the club's assessment this week, citing sources close to Valdebebas who described the teenager's attitude as impressive.
"In Valdebebas they were very happy with Cristiano Junior. He showed a lot of commitment and a very professional attitude. At the moment, however, Real Madrid do not yet plan to sign him."
A move to Europe this summer is not expected, but remains the teenager's longer-term objective. The clubs of his father's career are all tracking his progress — he spent time in Manchester United's academy while Cristiano Ronaldo was at the club and trained with Juventus's youth system during the family's time in Turin. He now plays for Al-Nassr's academy following his father's arrival in Saudi Arabia in January 2023.
He was deployed primarily as a winger during his Real Madrid sessions and has represented Portugal at Under-15 and Under-16 level, scoring his first goal for the Under-16 side in the Vlatko Markovic International Tournament — a competition Portugal won.
Cristiano Junior's family holds reservations about an immediate European move, concerned that the weight of comparison with his father in a European context could place excessive pressure on a teenager still developing his own identity in the game.
Al-Nassr's first team may offer an alternative route. Saudi Arabian outlets have reported the club could integrate him into their senior pre-season squad this summer — a scenario that would make father and son teammates for the first time.
Whether that happens or whether a European academy move follows in the next year will depend on the family's decision. For now, Real Madrid have seen enough to be interested — just not enough to move.