Atletico won the last-16 first-leg tie with Bayer Leverkusen 4-2.
Atletico Madrid have never been short on world-class goalkeepers.
Bayer Leverkusen got knocked out in the 2014/2015 edition of the Champions League at this same stage by Atletico.
Leverkusen produced a more assured display in Spain than two weeks ago at BayArena, but the damage was already done and Diego Simeone's side produced a professional performance to see out the result.
However, the damage had already been done as the hosts registered their 17th clean sheet in their last 21 Champions League home games. The visitors will hope their main player Javier Hernandez will rediscover his goal scoring form as he went goalless over the last four matches, after scoring five in just three appearances before the Champions League first leg against Los Rojiblancos.
Atletico took until seven minutes before the break to threaten but then forced Bernd Leno into two fine saves in 60 seconds.
Angel Correa had conjured up some of the home side's more promising plays in the first half, and the Argentinian sparked his men into action after the restart before Nicolas Gaitan replaced him in the 64th minute. Brandt and Volland (twice) were denied by Atletico keeper Oblak at close range and Hernandez shot just wide - all in a matter of seconds.
Griezmann had been quiet for much of the first hour but he nearly broke the deadlock in sumptuous style, sending a right-foot chip across Leno's goal and narrowly beyond the far post after springing the offside trap.
Bayer Leverkusen named Tayfun Korkut as their new manager following the departure of Roger Schmidt, who was sacked after the Germans' first-leg defeat by Atletico Madrid was followed by a 6-2 loss at Borussia Dortmund.