Oblak has forged a reputation as one of the world’s top stoppers and has kept a La Liga-best 19 clean sheets so far this season.
The Slovenian is under contract at the Wanda Metropolitano for another three years but Atletico face a battle to keep hold of him.
Real Madrid have been backed to make a raid on their cross-city rivals this summer as they look to replace current No 1 Keylor Navas.
The latest reports from Spain indicate two Premier League big guns will enter the scrap to secure his services too.
According to Mi Otra Liga, Liverpool and Arsenal are interested in prising Oblak away from Atletico Madrid when the transfer window reopens.