Griezmann has become one of Europe's hottest properties during two-and-half prolific seasons at Atletico, and Manchester United, Chelsea and Real Madrid are among the clubs being linked with a big-money bid for the France worldwide. "We could have easily taken the three points".
Atletico were unsafe on the break, though, and Griezmann forced Keylor Navas into a smart save with a good strike from distance.
Real Madrid just published their starting lineup for the upcoming Madrid Derby against Atletico de Madrid.
However Atletico Madrid played two of the three last Champions League finals, they won the Spanish league and Copa del Rey.
Zidane has an excellent record since taking over at Real in January 2015.
Moments later Ronaldo couldn't believe his eyes when his fierce goal-bound effort was turned to safety by Stefan Savic's incredible headed clearance from under his own crossbar.
Oblak was soon in action again, the Slovenian alert to save Bale's header.
French superstar Antoine Griezmann has kept the door firmly ajar on a possible summer move to Manchester United.
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Keeper Jan Oblak was forced into a number of saves that helped keep Atleti in the game, while a remarkable clearance from Stefan Savic following a Cristiano Ronaldo strike kept the scores level at the break, only for Portuguese worldwide Pepe to put the home side ahead with the opener just after the restart.
Real eventually swept into the lead after 52 minutes.
That was until Correa, who had gone on in the 61st for Saul Niguez, saw the sliver of space between Real defenders Nacho Fernando and Dani Carvajal.
And Atletico boss Diego Simeone hailed Griezmann's transformation into the complete all-round player.
After 74 minutes, Griezmann produced a superb overhead kick as the ball was floated into the Real box from the right, which Navas deflected away, but the offside flag had gone up against the Frenchman.
Real Madrid head coach Zinedine Zidane has claimed that his players' concentration needs to improve after they were held to a 1-1 draw by Atletico Madrid on Saturday.
This can change, of course, but as things stand Mourinho will have to look elsewhere for a prolific striker over the transfer window.
Atletico can turn with confidence still high back to the Champions League, where it hosts Leicester on Tuesday in the quarterfinals.