As his contract is nearing its end, several Premier League clubs are showing interest in the 31-year-old wing-back.
Nottingham Forest and Crystal Palace are among the teams eyeing Reinildo for potential signings.
Forest have already started discussing a possible transfer with Reinildo, while Palace are also interested but have not yet made formal contact.
Reinildo joined Atletico Madrid from Lille in January 2022 and has since become a key player for the team.