Some reports had gone as far as to claim that Costa was in the Turkish capital earlier today to take his medical with Fener, but as much fun as it would be to see Costa and Martin Skrtel on the same team, that sounds like nothing more than idle speculation and fabrication.
The Daily Telegraph suggested that a number of Chelsea player think the player is giving "serious consideration" to a return, apparently believing his stubborn position is softening.
However, the forward could yet be handed a reprieve, as Fenerbahce are reportedly trying to sign him on loan before the Turkish transfer window slams shut on Friday.
Costa netted 22 goals last season for the Stamford Bridge outfit, and there is no question he would improve Atletico's attacking line considerably.
Atletico Madrid will want Costa to be match fit when they sign him once their transfer ban is lifted. Chelsea listed him on their 25-man roster the other day but left him out of their Champions League squad.
However, Chelsea were demanding more than the £32 million they originally paid Atleti for Costa, in 2014, causing Los Rojiblancos to decide against a deal.
"We have not shown [Simeone] Costa's contract", Cerezo told reporters at the opening ceremony of Atletico's new home, the Wanda Metropolitano.
Having left Manchester for Buenos Aires on November 7, 2011, Tevez then refused to return to City, choosing to play golf in Argentina rather than head back to the club and resolve his dispute.
Cerezo was also asked about reports in the local media that the Wanda Metropolitano could host a friendly game between Spain and Brazil during the November global break.
French centre-back Eliaquim Mangala was named in Manchester City's squad after City were unable to find a buyer for him in the transfer window.