Griezmann, who has a 100-million euro ($123 million) buyout clause in his contract, said last month that he would decide on a move before the World Cup which starts on 14 June. Better than Paris Saint Germain, better than Manchester City, better than Barcelona.
This was yet another performance that showed exactly why he has been attracting admiring glances from around Europe.
Kroos was off target with a late volley as Oblak pulled off yet another super stop, this time to deny Sergio Ramos from a set-piece in injury-time.
Zidane surprised everybody by taking off Ronaldo just after the hour mark and replacing him with Karim Benzema.More news: Blaze At Trump Tower In New York Kills One Civilian, Injures Firefighters
Ronaldo scores the opener.
Bale was the creator as he raced down the left before crossing for Ronaldo to fire past Oblak. Ronaldo appeared unhappy as he made his way to the dugout.
The two capital clubs will now switch their attentions back to the Champions League and the Europa League, respectively, with games against Juventus (for Real) and Sporting CP (for Atleti) this week. However, Real have a healthy lead in the tie, making it something of a unusual move by the Real Madrid boss.
Thomas Partey played in Griezmann, who cleverly slid possession to Vitolo and was on hand to steer the loose ball into a vacant goal after Navas saved at the former Sevilla winger's feet.
"What we have done in this decade is tremendous, Atletico fans should be proud of how their team is competing".More news: Alternate jurors selected for Cosby's retrial
Furthermore, nine of Atletico's last 11 away league games have seen less than three goals and so there is every chance of another low-scoring game at the Bernabeu this weekend.
Sergio Ramos nearly snatched a win in injury time but his free-kick was brilliantly clawed out by Oblak to ensure that the points were shared in a result which leaves La Liga leaders Barcelona 11 points clear of Atletico with seven games remaining. They could well have the title wrapped up by the time they welcome Real Madrid to the Camp Nou for the Clasico next month.
"When they scored we responded immediately, and we saw a game we could win with Koke and [Angel] Correa".
The 33-year-old was withdrawn after 63 minutes for a rest ahead of Madrid's Champions League quarter-final second leg against Juventus at the Bernabeu on Wednesday and was an animated observer from the bench as Sergio Ramos twice came close to a late victor - once with a free-kick pushed over by Jan Oblak and then with a header from the resulting corner.More news: Salman khan granted bail in blackbuck poaching case