The attacker has been linked with the Spanish giants in the past week.
And the fact the Red Bulls and Atletico Madrid are both partners in a new 10-team alliance provided plausibility to a move.
But a Red Bulls spokesman told the New York Post: "We've had a lot of interest from different teams for several of our players. But we are building a team and not selling players at this time…as Erik (Soler) said a couple of weeks ago. (We) can't comment further."