Reports: Atletico Madrid 3-3 Getafe
Atletico had to play much of the game with 10 men after Stefan Savic was sent off for two first-half bookings, but Griezmann gave the hosts the lead just before the break when he turned in Rodrigo Riquelme’s cross.
Borja Mayoral equalised early in the second half before Alvaro Morata headed Atletico back in front.
Griezmann scored a penalty to make it 3-1 and move level with Aragones, who also won La Liga as Atletico coach in 1976-77 and guided Spain to victory at Euro 2008.
But Getafe pulled a goal back through Oscar Rodriguez and Mayoral tucked away a spot-kick in the third minute of added time to deny Atletico, whose 17-match home winning run in the league came to an end.
The point was still enough to bump Diego Simeone’s side up to third above Barcelona, who take on winless Almeria on Wednesday.