The Rojiblancos have not finished in the top two since 1996, when they won the league and cup double, but are currently four points behind arch-rivals Real Madrid, who extended their lead with a 5-1 win over Levante on Saturday.
However, Atletico coach Diego Simeone insists his side will continue push on as they aim to finish as high as they possibly can.
"I always said that when you're 15th, you want to be 14th," he said. "And when you are fourth, you want to be third.
"You always want to advance. And we want to finish as high as possible."
Struggling Celta Vigo can move out of the relegation zone with a win at home to Rayo Vallecano, while Valencia, who have been inconsistent all campaign long, will be looking to continue their push for European qualification when they entertain Real Valladolid.
Sunday's final game sees Osasuna entertain Espanyol, while Sevilla take on Athletic Bilbao on Monday.
On Saturday, Barcelona, fuelled by Cesc Fabregas' hat-trick continued their relentless march to the title by crushing Real Mallorca 5-0, in a game that also saw Eric Abidal return to action for the first time since liver surgery.
Real Sociedad strengthened their grip on a top-four place with an impressive 4-2 win over UEFA Champions League quarter-finalists Malaga, while relegation-threatened Deportivo La Coruna picked up three vitals points after beating Real Zaragoza 3-2.
Meanwhile Real Betis's quest to qualify for Europe next season was given a massive boost as they thrashed a hapless Granada side 5-1 on Friday.
Sunday's La Liga Fixtures
Monday's La Liga Fixture(s)
Saturday's La Liga Result(s)
Friday's La Liga Result(s)