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The 26-year-old player would follow in the footsteps of English players including David Beckham, who won the La Liga title in his final, fourth season with the club and Jude Bellingham, who signed a six-year contract with Los Blancos in 2023.
READ MORE:Trent Alexander-Arnold's reaction to partying Liverpool fans says it all after Brighton defeatFrom Zinedine Zidane to Gareth Bale, many famous footballers have lived in La Finca(Image: Rowan Griffiths / Daily Mirror)
And when it comes to moving to Madrid, there is one luxury neighbourhood footballers look to - La Finca.
Known as the city's answer to Beverly Hills, homes in the stunning locale fetch up to a cool £11 million and are a mecca for footballers and their families.
This was where Cristiano Ronaldo called home when he played for Real Madrid for nine seasons, with La Finca offering large, luxurious villas with private pools and gardens.
The exclusive gated community provides the utmost in privacy and security, a must for the most famous names on the planet.
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England star Jude Bellingham currently plays for Real Madrid and lives in the neighbourhood.
His property boasts picturesque views over the swanky La Finca Golf Resort and mountain views.
"There are times when I go out to have a coffee near my house or go downtown to eat," he told Real Madrid TV.
I feel at home."
David Beckham spent four seasons with Real Madrid in the early '00s(Image: Getty Images)
Over in the city centre, a 20 minute journey from La Finca, Madrid is filled with high-end eateries Trent could enjoy with his girlfriend of eight months, Instagram model Estelle Behnke.
They include Mesón Txistu, which offers traditional Basque cuisine and is often frequented by Real Madrid stars and Asador Donostiarra, the preferred steakhouse of David Beckham when he played for Los Blancos which remains a favourite with the players.
BlackHaus, formerly known as Oh!, is a club and restaurant loved by Madrid's rich and famous, while The Pacha nightclub is a city institution.