Griezmann is expected to move to Barca this summer, with the Catalans willing to meet his €100m buyout clause. Barca could effectively avoid speaking with Atletico by simply meeting the escape option.
However, Diario Gol says Atletico are willing to negotiate a lower price - if Barca are prepared to include Ousmane Dembele in their offer.
Atletico coach Diego Simeone is a fan of the France international and sees the youngster as an ideal replacement for Griezmann.
But the player could take some persuading to leave Barca, having already spoken with Griezmann about the pair playing together at the Nou Camp next season.