The meeting took place after Atletico’s Champions League win over Liverpool, with Diego Simeone’s side having made the midfielder their top summer target.
Rakitic seems open to a move to Madrid, the report says he’s already looked at property in the Spanish capital, and wants to stay in La Liga.
However, there’s also a chance he could see out his contract at Barcelona and walk away for free in the summer of 2021.
Any deal is dependent on Atletico offering Rakitic the same contract and salary they discussed during their meeting in February.
The Rojiblancos will also have to negotiate a price with Barcelona, but the club are unlikely to stand in his way if a decent offer does arrive.