The youngster was offered a contract with the La Liga outfit's academy after his dad moved to the club to become a coach in 2015.
Phil left the club after his brother Gary was sacked as manager a year later.
However, with the former Manchester United and Everton player still living abroad, Harvey has remained in Spain and is being touted as the next best British talent.
According to Super Deporte, The Red Devils and Spurs are keen on bringing him back to England.
Harvey was formerly at United before enjoying a spell with rivals Man City, where he won the Premier League International Tournament.
The winger’s technical ability has seen him dubbed the 'new David Beckham'.
And the former England captain is clearly impressed by the youngster.
After Phil Neville posted a video of his son on Instagram, Beckham commented: “Great cross Philip, you been showing Harvey videos of me??”
Neville cheekily responded: “Yes mate, morning noon and night haha.”
Jose Mourinho's squad currently boasts a high number of successful young players who have came through the youth process at the club.
Marcus Rashford is the prime example of a player who has benefitted from the academy facilities at Carrington.
