Gareth Bale was given 90 minutes, perhaps not the most positive indicator for his chances of a start in midweek.
Saul Niguez curled a low effort wide of the Real Madrid post 20 minutes from time, before Bale headed a Dani Carvajal cross wide of the post down the other end as the match headed for its final 10 minutes at 1-1.
One point apiece was fair for two teams whose focus is on Europa competition.
Marcelo was then the latest player to have his head in his hands, as he struck the crossbar in the closing stages of the first half with a curling strike on his weaker right foot.
Bale had operated on the margins of the contest up until that point but the Wales winger stormed down the left flank and Ronaldo pulled into space behind Lucas Hernandez, drilling a volley into the turf and beyond Oblak.
Griezmann has nine goals in his last eight Atletico outings, so expect a few more from the Frenchman if he can continue his good goalscoring form. "But we could also have lost the game".
With 27 league outings involving 22 starts and three goals, the Ghana global has made the fourth highest number of appearances for the Red and Whites. Bale completed the 90 minutes, but his performance only really confirmed that the €101 million galactico is mostly a back-up option at the moment. Atletico looked threatening on the break and Diego Costa could have scored when set free by a superb Koke pass but the striker, ignoring Griezmann in the middle, saw his angled finish tipped around the post.
Atletico visit Real at the Santiago Bernabeu today, having gone four matches without a defeat in the league at their opponents' backyard.
Although captain Sergio Ramos twice went close in stoppage time, Madrid were unable to force a victor and remain third - four points behind their neighbours in LaLiga.
"It meant that we weren't playing well before that", he added.