Suarez is expected to leave Barcelona ahead of the new season after club president Josep Maria Bartomeu cast doubt over his long-term future at the club, and he was recently linked with a surprise return to one of his previous teams in Ajax Amsterdam.
Juventus have also emerged as suitors for the Uruguay international, with new Bianconeri boss Andrea Pirlo said to be looking to capitalise on the turmoil at Barcelona to sign the two-time European Golden Shoe winner.
That is according to Spanish publication Marca, who have named Juve as strong contenders to land Suarez's signature, ahead of MLS side Inter Miami, who recently signed Blaise Matuidi from the Serie A side, and Ajax.
Pirlo has been searching for a new attacking option since assuming the managerial post earlier in the month, and was most recently said to have received a request from Ronaldo to sign Real Madrid star Karim Benzema.