Griezmann has a €100m (£87.9m) release clause in his contract at the Wanda Metropolitano.
Suarez has suggested that the 27-year-old forward, would be making a move to Camp Nou this summer.
Bartomeu told RAC1: "We do not talk about players from other teams, we'll analyse the season and we'll see what we do with arrivals and departures". I have not spoken to him this year but I did speak to his agent in October.
Bartomeu has now said talks had taken place between the club and Griezmann's representatives earlier in the season. He rules up front for Atlético Madrid and that is fundamental.
Before Griezmann suits up for Les Bleus in Russian Federation next month, Atletico will face Marseille in the Europa League Final on May 16 in Lyon.
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"We've spoke with [Atletico president Enrique] Cerezo and [CEO] Gil Marin about a lot of things", he said.
FC Barcelona superstar Luis Suarez claims they would welcome the arrival of a LaLiga star, who was also linked with Manchester United.
Barcelona already have a feared attacking unit - one which is led by superstar Lionel Messi.
They drew 2-2 with Real Madrid on Sunday in a gritty Clasico despite playing the second half with 10 men after Sergi Roberto's dismissal, and are unbeaten in 42 league matches.
Barcelona enjoyed a successful season in Ernesto Valverde's debut year as coach as he helped the Catalans accomplish a league and Copa del Rey double.