A goal from Arda Turan settled the game for the visitor which was forced to hold on after Suarez's dismissal.
Suarez was given his marching orders for a second bookable offence after handling the ball, leaving his team-mates to see out the last 20 minutes with only 10 men.
Atletico, which cut the gap on Primera Division leader Barcelona to three points with the win, was already a goal ahead by then as Turan finished off Jorge Koko's cross.
Levante climbed to fourth as goals from Obafemi Martins and Jose Barkero handed it a 2-0 victory over Deportivo La Coruna at La Riazor.
Martins opened the scoring five minutes before half-time with his fifth goal in eight games since joining Los Granotes, but the host was given a great chance to get back into the game when Pedro Lopez was shown a second yellow card for handling inside his own area 10 minutes into the second half.
Riki blasted the resulting penalty over the bar and, after the numbers had been evened up as Depor goalkeeper Daniel Aranzubia was also sent off for a second bookable offence, Barkero wrapped things up for the visitor with a long-range effort.
Jose Antonio Reyes and Federico Fazio both scored first-half braces as Sevilla put its recent bad form behind it with a stunning 5-1 victory over city rival Real Betis.
The pressure was on Michel's side to produce the goods after a recent slump in results and it never looked back after taking the lead in the opening seconds through Reyes.
It was two up inside five minutes thanks to Fazio and further first-half goals from the pair ended the match as a contest.
Betis' evening was compounded when Ruben Perez was dismissed for a second bookable offence and although it did claim a consolation of sorts through Ruben Castro's strike, Ivan Rakitic sealed a sensational win for Sevilla in injury-time.
Mallorca ended a run of six consecutive league defeats by earning a valuable point in a 1-1 draw at Celta Vigo.
Tomer Hemed put the visitor in front with his seventh goal of the season but Celta should have been level by half-time as Augusto Fernandez passed up two glorious opportunities to equalise.
Park Chu-young did eventually level for the host with a simple finish from a wonderful cross by Iago Aspas, but it was Mallorca which came closest to a winner as Hemed was only denied his second of the game by a brilliant save from Javi Varas.
Two goals in four minutes from Alexis and Angel Lafita saw Getafe come from behind to beat Real Valladolid 2-1 and move into the top half of the table.
Oscar Gonzalez's sixth goal of the season had put Valladolid ahead just before the break but after Omar Ramos came within inches of doubling the lead with a shot that smacked off the underside off the bar, Getafe rallied to score twice in the final 16 minutes.
Alexis headed home at the back post from Pedro Leon's corner before Lafita found some space inside the area and curled a beautiful finish high past Dani Gimenez into the top corner.