The 32-year-old has been heavily linked with a move to Anfield since leaving the Camp Nou in the off-season after his contract had expired.
Valdes is still on the mend, having suffered an anterior cruciate ligament injury in March, although reports in the British media suggesting the Reds had invited the Spaniard to prove his fitness during a four-day trial.
However, the keeper’s representative, Gines Carvajal, insists the rumours that Valdes turned down the Merseysiders is well wide of the mark.
Carvajal told Sport: “Liverpool didn’t ask us to train for four days. We haven’t rejected it because it [the story] is false.
“Neither Brendan Rodgers nor Liverpool have ever made us this proposal, at any time.”