The Portuguese forward put his team on the verge of their third final in four years and took his tally to 103 goals in the competition as he helped Madrid vanquish their neighbours at the Santiago Bernabeu.
Portugal had to settle for a 0-0 draw at home to Spain in a heavyweight friendly on Wednesday after hammering the crossbar twice and missing a last-gasp open goal.
Manchester United humbled Manchester City 4-2 in the continent's big derby of the weekend.
Diogo Jota and Joao Felix both scored their first international goals in the second half before Bruno Petkovic pulled one back and Andre Silva then added a fourth.
Cristiano Ronaldo struck twice as leaders Real Madrid subdued Eibar 4-0 on Saturday while Lionel Messi set a La Liga record of 253 goals with a hat-trick in second-placed Barcelona's 5-1 rout of Sevilla.
Midfielder Dani Ceballos added: "It looks like us changing our coach worked. We have recovered some sensations we had lost and we have got the three points. Now our objective is to win all the games left and finish the season as well as possible."
Paris St Germain buried the ghosts of their embarrassing 2017 exit as they drew 1-1 at home with Barcelona on Wednesday to complete a 5-2 aggregate victory that sent them into the Champions League quarter-finals.
IMAGES from the Champions League matches played on Tuesday.
England beat France 2-0 in an emotional friendly at Wembley on Tuesday when more than 70,000 fans paid tribute to the victims of the Paris attacks with English fans roaring out a spine-tingling rendition of the visitors' national anthem.
Philippe Coutinho scored his first league goal since returning to Barcelona to help his side draw 1-1 at home to an excellent Sevilla side in La Liga on Sunday.
Luis Suarez was incredulous after being sent off in Barcelona's thrilling King's Cup semi-final second leg with Atletico Madrid on Tuesday, ruling him out of the final in May after playing a pivotal role in getting his team there.
River Plate battled back to beat arch Argentine rivals Boca Juniors 3-1 in extra-time in an unforgettable and unique Copa Libertadores final second leg, played in Madrid after violence had seen the original game postponed.
A summary of Sunday's action in Serie A and Bundesliga.
Ousmane Dembele's late strike rescued a 1-1 draw for champions Barcelona at Atletico Madrid but Sevilla moved top with a 1-0 win over Real Valladolid. European champions Real Madrid were humiliated in a 3-0 defeat at Eibar.
A red hot Luis Suarez scored four goals and contributed three assists as Barcelona's stuttering La Liga title charge sparked back to life with a spectacular 8-0 thrashing of Deportivo La Coruna on Wednesday.
A summary of Wednesday's matches in the UEFA Champions League.
It was Messi's 56th converted penalty in La Liga and saw him draw level with Hugo Sanchez as the league's second-top penalty taker, behind record holder Cristiano Ronaldo on 61.
Belgium have scored 14 goals in five matches and were hugely impressive in their 2-1 quarter-final victory over Brazil, with Romelu Lukaku, Eden Hazard and Kevin de Bruyne combining to devastating effect to oust the five-times world champions.
A round-up of Saturday's action in LaLiga, Ligue 1 and Serie A.
A round-up of Friday's Euro 2020 qualifying matches.
France earned a rollercoaster 4-2 home win over Croatia in an entertaining top-tier Nations League Group 3 match, while England were held to a 0-0 draw by Denmark in an uninspiring game.
News of all that's transpired on and off the football field
Barcelona's 16-year-old forward Ansu Fati continued his explosive start to life in the first team by scoring and providing an assist as the La Liga champions thrashed Valencia 5-2 on Saturday.
Angel Correa saw La Liga leaders Atletico Madrid snatch a 2-1 victory away to Granada on Saturday
Real Madrid were dumped out of the Copa del Rey at the quarter-final stage on Thursday after losing 4-3 at home to Real Sociedad, while record 30-times winners Barcelona were sent crashing out of the Copa del Rey in a 1-0 defeat at Athletic Bilbao.
Barcelona teenager Ansu Fati scored twice to lead his side to a 2-1 win at home to Levante on Sunday, finding the net in a league game for the first time in more than four months and becoming the youngest player to net a La Liga double. Romelu Lukaku scored a quickfire second-half double to give Inter Milan a 2-0 win at Udinese on Sunday, ending their run of three successive 1-1 league draws.
A round-up of Saturday's Euro 2020 qualifying matches.
Bigger than ever, the European Championship kicks off in Paris next month with a four-week feast of football that promises to elevate the game above the corruption scandals and security fears that have overshadowed its build-up.
Barcelona's stuttering title bid suffered another setback when they lost 2-1 at home to Valencia on Sunday, while Atletico Madrid moved level on points with the La Liga leaders after a comfortable win over Granda.
IMAGES from the football matches played across Europe on Sunday.
Leicester City's Kelechi Iheanacho scored two poacher's goals as they beat Manchester United 3-1 in their FA Cup quarter-final on Sunday to set up a last-four clash against Southampton.
A superb strike from Jose Luis Morales condemned Real Madrid to a 1-0 defeat away to Levante on Saturday which saw them unseated at the top of the La Liga standings by Barcelona. Real's problems deepened with a suspected ankle injury to Eden Hazard, who limped off the pitch four days before their Champions League showdown with Manchester City and a week before their showdown with Barca in the 'Clasico'. Real's problems deepened with a suspected ankle injury to Eden Hazard, who limped off the pitch four days before their Champions League showdown with Manchester City and a week before their showdown with Barca in the 'Clasico'.
A summary of sports events and sportspersons, who made news on Tuesday.
Lionel Messi marked his 300th La Liga appearance with a record-equalling hat-trick and an assist for Neymar as Barcelona stayed hard on the heels of leaders Real Madrid with a 5-0 romp at home to Levante on Sunday.
Barcelona finally made a statement of intent in what has been a chaotic season as they came from behind to beat La Liga leaders Real Sociedad 2-1 at home on Wednesday.
A round-up of Wednesday's action in the UEFA Champions League.
Hundreds of thousands of ecstatic French fans celebrated the return of their World Cup winning football team on Monday, jumping and chanting "We Are The Champions" as their bus paraded down the Champs Elysees before a special presidential reception.
Bigger than ever, the European Championship kicks off in Paris on Friday with a four-week feast of football that promises to elevate the game above the corruption scandals and security fears that have overshadowed its build-up. All eyes will be on hosts France when they get the ball rolling against Romania in the Stade de France -- 210 days after suicide bombers at the same venue triggered a night of horror across the capital which killed 130 people.
Rediff.com looks at the five best goals from the concluding round in the league stage.
Real Madrid win UEFA Champions League