The result meant Real moved up to third place, one point ahead of Valencia and three behind leaders Barcelona.
Real moved to 57 points, two ahead Girona and 10 clear of Atletico Madrid and Barcelona.
Barcelona top the LaLiga standings with 15 points, four ahead of Real Madrid and Villarreal. Girona are seventh on seven points.
Images from La Liga matches played on Saturday.
Inter Milan captain Lautaro Martinez struck a last-gasp goal to snatch a dramatic 1-0 win over 10-man Napoli as they claimed their third successive Italian Super Cup title on Monday.
'We were happy with the win because we played a great game until the 88th minute, when two lapses in concentration led to two goals and we had to suffer a bit more than we should have.'
The win moved Barcelona up to fourth place on 38 points from 22 games
Photos from soccer matches played across top European Leagues on Saturday.
A summary of Wednesday's action in the Champions League quarter-finals first leg.
Barcelona returned to the top of the LaLiga table with a comfortable 4-0 home victory over 10-man Real Sociedad on Sunday.
Diego Costa scored four goals as Real Madrid were embarrassed 7-3 by rivals Atletico Madrid in the final match of their United States tour, in New Jersey, on Friday
Kylian Mbappe was in inspired form, scoring twice to guide Real Madrid to a comeback 4-1 win over visitors Las Palmas on Sunday.
The Copa del Rey semi-final draw will be made on Friday.
Spain face Ronald Koeman's Netherlands away on Thursday before returning home for the second-leg on March 23.
Alvaro Morata again proved decisive from the bench by striking a late winner against Athletic Bilbao and firing a lacklustre Real Madrid to the top of La Liga on Sunday. The Spain international has been afforded limited opportunities in his first season back at Real following two years with Juventus, struggling to usurp first choice forwards Gareth Bale, Cristiano Ronaldo and Karim Benzema. Morata has made just four league starts, but has scored four times in all competitions.
'At no time did I, nor was it my intention, infringe upon the intimacy of my fellow professional Daniela Caracas.'
Lille coach Genesio hails perfect night after win over Real
Atletico Madrid striker Mario Mandzukic's early goal secured a 1-0 win over Real Madrid and a 2-1 aggregate success to clinch the Spanish Super Cup and gain some revenge for last season's Champions League final defeat.
Atletico Madrid have built a reputation for gargantuan achievements under coach Diego Simeone and have not given up hope of a remarkable turnaround against Real Madrid in Wednesday's Champions League semi-final second leg.
Atletico Madrid ended a run of 23 league derbies without a win when Diego Costa struck early to clinch a 1-0 victory over city rivals Real Madrid at the Bernabeu on Saturday.
A summary of Saturday's action in the LaLiga, Serie A and Bundesliga.
IMAGES from the UEFA Champions League last 16 matches played on Tuesday
Real Madrid crashed out of the King's Cup quarter-finals 4-3 on aggregate after being held to a 2-2 draw at Celta Vigo on Wednesday in another major setback for the stuttering European champions.
Atletico Madrid set up a King's Cup final with city rivals Real after Diego Costa and Radamel Falcao scored in a 2-2 second leg draw at Sevilla on Wednesday, to progress 4-3 on aggregate.
Barcelona clinched a 1-0 away win at Atletico Madrid, while AS Roma held AC Milan to a 2-2 draw.
Atletico Madrid coach Diego Simeone has tested positive for COVID-19, his club said in a statement on Saturday, meaning the team could be without their manager when they start the La Liga campaign in two weeks' time.
IMAGES from an exciting Europa League semi-final first leg match played at Emirates Stadium on Thursday
Atletico Madrid produced an inspired display of counter-attacking football to beat Chelsea 3-1 in the UEFA Champions League semi-final second leg in London on Wednesday and set up an all-Spanish final against city rivals Real.
Atletico Madrid defender Lucas Hernandez was arrested in the early hours of Friday on suspicion of having assaulted his girlfriend, Spanish police said.
Atletico players accused Manchester City of time-wasting in the final minutes, which the English club denied.
Bayer Leverkusen beat Freiburg 3-2 to edge closer to a first ever Bundesliga title.
Paris St Germain will play Borussia Dortmund and Barcelona were pitted against an unpredictable Napoli, while Chelsea were drawn against Bayern Munich. City, who will be at home in the second leg, have yet to beat the Spanish side with two draws and two defeats in their previous four meetings.
With a game in hand, Hansi Flick's Barca are top on 66 points, three ahead Real in second
Holders Bayern Munich will face nine-time champions Real Madrid in the Champions League semi-finals while 2012 champions Chelsea will play Atletico Madrid.
IMAGES from the UEFA Champions League matches played on Wednesday.
Luis Suarez has agreed a deal with the club to end his contract and settled on personal terms with Atletico Madrid,
Diego Simeone called on his Atletico Madrid side to show their true colours when they face La Liga leaders Barcelona on Saturday in a crucial title clash.
Man United were mistakenly drawn with Villarreal, even though both teams had already faced each other in the group stage.
Real Madrid manager Carlo Ancelotti heaped praise on his striker Kylian Mbappe after he scored a hat-trick in a 3-1 win over Manchester City on Wednesday that took the Champions League holders into the last 16.
IMAGES from football matches played across Europe on Wednesday.