Atletico de Madrid's Yannick Carrasco (1st L) celebrates his goal during a Spanish La Liga football match between Atletico de Madrid and Real Madrid in Madrid, Spain, on May 8, 2022. (Photo by Gustavo Valiente/Xinhua)

MADRID, May 8 (Xinhua) -- Yannick Carrasco's first-half penalty gave Atletico Madrid an important win over neighbors Real Madrid in the city derby on Sunday night.

The Belgian slotted home from the spot five minutes from time after Matheus Cunha had been caught by Jesus Vallejo to give his side three points which takes them closer to assuring a place in next season's Champions League.

With nothing to play for, Real Madrid made seven changes to the side that beat Manchester City on Wednesday night and it showed, especially in a disjointed first-half performance.

Antoine Griezmann went close twice for Atletico in the second half and Carrasco hit the post, while the only saves Jan Oblak made were long-range efforts from Fede Valverde and Marco Asensio.

On Saturday, Jordi Alba scored a volley in the last minute of injury time to give FC Barcelona a 2-1 win away to fifth-place Betis that strengthened their second place in La Liga, dealing a blow to Betis' chances of finishing fourth.

Ansu Fati's deflected goal opened the scoring in the 76th minute only for former Barca stopper Marc Bartra to head home and equalize three minutes later and for Alba to decide with a second left on the clock.

Granada climbed out of the bottom three with a 6-2 win away to Mallorca, who drop into the relegation zone.

Luis Suarez struck for Granada in the sixth minute although Salva Sevilla's excellent goal leveled the score before halftime.

Sergio Escudero and Antonio Puertas made it 3-1 before Antonio Raillo pulled a goal back for Mallorca, but two goals from Jorge Molina and one from Myrto Uzuni rounded off the rout.

Getafe still have work to do before they certify their survival after they were held 0-0 at home to Rayo Vallecano, although the point edges them a point closer to safety.

Valencia frustrated Athletic Club Bilbao with a 0-0 in the San Mames Stadium. Thanks to Valencia keeper, Giorgi Mamardashvili, who twice denied Inaki Williams while Asier Villalibre rattled the crossbar in injury time.

Villarreal missed a chance to strengthen their place in seventh as they were held 1-1 at home to Sevilla with Jules Kounde canceling out Giovani Lo Celso's 85th-minute opener for Villarreal with the virtually the last action of the match in the fifth minute of injury time.

The result leaves Sevilla needing just one point to assure a place in next season's Champions League, while Villarreal will think they deserved a lot more for their efforts.

Levante kept their survival hopes alive with a 2-1 win at home to sixth-place Real Sociedad, thanks to goals from Jorge Miramon and a Gonzalo Melero penalty in injury time.

That result leaves Alaves bottom after they were hammered 4-0 away to Celta Vigo, with Iago Aspas scoring twice, along with Thiago Galhardo and a Ximo Navarro's own goal.

Alvaro Negredo, Ruben Sobrino and Choco Lozano scored three goals in the last 10 minutes to give Cadiz a vital 3-0 win at home to Elche.

Finally, Espanyol and Osasuna drew 1-1 with Nico Melamed canceling out Kike Barja's opener for the visitors, who saw how Chimy Avila's powerful shot hit the Espanyol crossbar in the last minute of play.

Real Madrid's Lucas Vasquez (front) vies with Atletico de Madrid's Koke during a Spanish La Liga football match between Atletico de Madrid and Real Madrid in Madrid, Spain, on May 8, 2022. (Photo by Gustavo Valiente/Xinhua)

Real Madrid's Casemiro competes during a Spanish La Liga football match between Atletico de Madrid and Real Madrid in Madrid, Spain, on May 8, 2022. (Photo by Pablo Morano/Xinhua)

Real Madrid's Nacho (C) vies with Atletico de Madrid's Stefan Savic during a Spanish La Liga football match between Atletico de Madrid and Real Madrid in Madrid, Spain, on May 8, 2022. (Photo by Gustavo Valiente/Xinhua)

Atletico de Madrid's Yannick Carrasco scores a penalty goal during a Spanish La Liga football match between Atletico de Madrid and Real Madrid in Madrid, Spain, on May 8, 2022. (Photo by Pablo Morano/Xinhua)

Real Madrid's Jesus Vallejo (L) vies with Atletico de Madrid's Antoine Griezmann (C) during a Spanish La Liga football match between Atletico de Madrid and Real Madrid in Madrid, Spain, on May 8, 2022. (Photo by Gustavo Valiente/Xinhua)