The referee blows the final whistle as Granada holds on for what could be a valuable point come to the end of the season.
They were put under pressure by the hosts but held firm for a hard-fought draw.
De Paul went closest for the hosts in the first half, but Maximiano was equal to his first-time shot from the edge of the box.
Atletico Madrid started the second half well and nearly got their noses in front when Griezmann fired a shot just past the post.
Correa then saw a deflected effort go just wide. Then, finally, Petrovic watched a couple of his shots from range go over Oblak’s crossbar.
Before the hosts, they nearly won it late on. Savic headed just wide from a Carrasco corner before they hit the post in the 89th minute.
Carrasco pulled the ball back for Cunha, who took a couple of touches before firing at goal, only to see his shot come back off the post and ensure the game finished 0-0.
ATLETICO MADRID (3-5-2): Jan Oblak;
Stefan Savic, Mario Hermoso, Reinildo;
Marcos Llorente, Koke, Javier Serrano, Rodrigo De Paul, Yannick Carrasco;
Angel Correa, Antoine Griezmann.
SUBS: Guiliano Simeone, Daniel Wass, Sime Vrsaljko, Matheus Cunha, Luis Suarez, Renan Lodi, Benjamin Lecomte, Alberto Moreno, Carlos Martin, Marco Moreno.
GRANADA (4-4-2): Luis Maximiano;
Quini, Victor Diaz, Domingos Duarte, Sergio Escudero;
Luis Milla, Njegos Petrovic; Antonio Puertas, Darwin Machis, Alex Collado;
SUBS: Miguel Angel Brau, Yan Eteki, Matias Arezo, Myrto Uzuni, Aaron Escandell, Pepe Sanchez, Angel Montoro, Dani Raba, Carlos Bacca, Sergio Barcia, Isma Ruiz, Cheikh Kane Sarr.
So, what’s next?
The point for the visitors isn’t enough to move them out of the relegation zone.
But they move to within one point of 17th-placed Cadiz. They host Celta Vigo next as they look to stave off the drop.
The hosts move up to second with the draw but will be frustrated not to have come away with all three points here.
They will travel to Athletic Bilbao next as they look to get back on track.