Saul who has played a key role in the success of the La Liga Athletics title in the 2020-21 season, has also been linked with a move to Old Trafford this summer.
Saul has been on the books of Los Colchoneros 13 years ago but is suspected of seeking a new challenge away from Wanda Metropolitano.
Manchester United are considered the favorite to settle Spain international, although the Empire of the Kop suggests that Liverpool have also been warned of a desire to leave.
It is said that the All Reds are determined to strengthen the center of the pitch and will block any request made by Manchester United playing in the Premier League.
Saul has a contract with Atletico until the 2025-26 season, but the Spanish international is believed to be eligible for £ 40million.