The draw moved Atlético eight points clear of Barcelona and Real Madrid with a game in hand. The lead would have stayed at 10 points had it held on to the victory.
“We know that we have to win these games at home, and today we allowed them to equalize almost in the last play of the match,” Atlético captain Koke Resurrección said.
Atletico was missing several key players because of positive COVID-19 tests, including João Félix and Yannick Carrasco. Two new positive results were announced hours before the game at Wanda Metropolitano Stadium, for Héctor Herrera and Thomas Lemar. Moussa Dembélé and Mario Hermoso also were out because of the virus.
Celta, winless in seven straight matches in all competitions, stayed in 10th place. It opened the scoring with a header by Santi Mina in the 13th.
The 34-year-old Suárez, who also missed a few matches after testing positive for the coronavirus, got his goals off his first two shots on target at Metropolitano.
“We have been conceding too many goals early in the matches,” Koke said. “We have to improve in that area if we want to keep fighting for the title.”
Atlético recently also had to come from behind against Eibar and Valencia. Simeone’s team has won every league match since losing at Real Madrid 2-0 in December, though it was eliminated by third-division club Cornellà in the second round of the Copa del Rey.
Atlético’s next game is at eighth-placed Granada on Saturday. Celta hosts Elche on Friday.