The 31-year-old is in the final year of his contract at Camp Nou and has previously revealed that he will leave when it expires to continue his trophy-laden career elsewhere.
Valdes was a reported transfer target for Monaco in the close-season, as well as Arsenal and Manchester City.
With Monaco top of the table at present on goal difference on the club's return to the French top flight and former Barca left-back Eric Abidal in the ranks at Stade Louis II, Valdes has expressed an interest in moving to the Ligue 1 leaders.
He told Telefoot: "I've been at Barcelona for 10 years. It has been a great 10 years but my adventure with Barca ends this season.
"Monaco might be a good choice. As a professional, Ligue 1 attracts me.
"(Eric) Abidal is very happy there and he is a good friend of mine.
"I consider him to be a brother after everything we have loved through together.
"To play with him again would be special."
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