L'Equipe says Lyon have also come forward as they see Luis as a replacement for Ferland Mendy, who has just been sold to Real Madrid.
Over the weekend, Luis stated: "There's a chance that I'll stay and there's a chance that I'll leave.
"Out of respect for the national team, it's not the moment to negotiate. I will sit down with the club and my representatives after the Copa America and we'll see what I have to do.
"But you know Atletico is the club in my heart and where I've spent the best years of my life."