This sets up Real Madrid final against Borussia Dortmund, who knocked out Paris Saint-Germain in the other semi-final.
"The result of the first leg, in this aspect, puts us a little in doubt. We will try to go all in out there from the first minute, but we have more questions and responsibility than our rival."
Cristiano Ronaldo and Lionel Messi will resume their perennial battle to be crowned the world's best footballer after they headed the shortlist of 30 players for the 2016 Ballon d'Or announced on Monday.
IMAGES from football matches played across European leagues on Saturday
Lorenzo Insigne curled a quite wonderful shot beyond the reach of Belgium goal-keeper Thibaut Courtois after jinking in from the left flank.
The Italian said he would avoid big changes to his team this time, after he tested midfielder Luka Modric up front in place of then-injured striker Karim Benzema in the last El Clasico in March, only to get hammered 4-0 by the Catalans.
Lionel Messi insisted his fifth-place finish in Monday's Ballon d'Or awards was not a motivating factor behind his sensational performance in Barcelona's 4-0 thrashing of local rivals Espanyol in La Liga on Saturday.
Real Madrid have avoided defeat in their last 41 LaLiga games, the second best streak by a team in the competition's history.
Describing Liones Messi as the best player in the world, Barcelona spokesperson Josep Vives has said that star striker doesn't need any award to prove his credibility.
Ronaldo, who won the award last year, topped the scoring charts with 15 goals in the competition as Real Madrid won a third consecutive European crown.
La Liga leaders Real Madrid were held to a frustrating 1-1 draw at lowly city rivals Rayo Vallecano on Sunday as Joselu's early strike was cancelled out by Raul de Tomas' penalty, a result that could spice up the title race with surprise package Girona.
Croatia ruthlessly exposed England's limitations in the second half of the World Cup semi-final on Wednesday as Zlatko Dalic's side fought back to secure a famous 2-1 extra-time victory.
Marco Asensio followed up his brilliant late goal in Sunday's first leg with a stunning effort from 30 metres in the fourth minute that proved a punishing blow for the Catalans.
England's last appearance at this stage was in 1990 when they lost in a penalty shootout to West Germany in Turin while eight years later, in their first World Cup as an independent nation, Croatia lost to hosts and eventual winners France.
There was however still some drama. Croatia were awarded a penalty in the 16th minute when Andrej Kramaric's toe was clipped by Yannick Carrasco and referee Anthony Taylor pointed to the spot.
Cristiano Ronaldo scored on his return from injury as Real Madrid thrashed Osasuna 5-2 at the Santiago Bernabeu on Saturday to equal the club's 1960-61 record of 15 successive La Liga wins.
Real Madrid swatted aside Granada 4-1 on Thursday to ensure the La Liga title race will go down to the wire.
Thirteen-times European champions Real, who had come through each of their last three Champions League semi-final ties, had been second best for much last week's first leg which ended 1-1.
'We had a fantastic goalkeeper today, Livakovic, he was great, he was insurmountable, he defended the penalties in a very strong, stable manner.'
Real will meet the winners of Thursday's semi between Barcelona and Atletico Madrid in Sunday's showpiece at the King Abdullah Sport City Stadium in Jeddah.
Real Madrid romped to a 4-1 win at tiny Eibar on Saturday, provisionally returning to the top of La Liga, despite the absence of Gareth Bale and Cristiano Ronaldo for Zinedine Zidane's side.
Cristiano Ronaldo scored twice but had to leave the pitch with his face covered in blood as Real Madrid eased their domestic crisis by hammering Liga strugglers Deportivo La Coruna 7-1 at home on Sunday to reclaim fourth place in the standing
IMAGES from the UEFA Champions League matches played on Wednesday
Manchester City marched into the quarter-finals of the Champions League
Real Madrid have agreed to sign Malaga's Spain Under-21 playmaker Isco on a five-year contract pending a medical.
Leaders Real Madrid pulled three points clear of second-placed Celta Vigo when they held off the valiant 10-man Galicians to secure a nervy 3-1 victory in Saturday's top-of-the-table clash in La Liga.
Turkey coach Fatih Terim was left to rue a missed chance in the first half of their Euro 2016 Group D defeat by Croatia, which he believes would have changed the outcome of Sunday's match.
Kevin De Bruyne netted a stunning equaliser with a rasping low strike to give Manchester City a 1-1 draw against Real Madrid
A round-up of Saturday's action in La Liga and the Bundesliga.
Real Madrid star forward Cristiano Ronaldo has beaten Barcelona's Lionel Messi for the first time to clinch La Liga's best player award among a hat-trick of awards he won at the Spanish top flight's annual gala.
Neymar will have extra motivation against Croatia, as he is one goal away from equalling Pele's record
IMAGES from the El Clasico match played at Estadio Santiago Bernabeu in Madrid on Sunday.
Ronaldo had failed to score in his last four league games for Real and his rotten run in front of goal looked set to continue when his spot-kick was turned away by visiting goalkeeper Roberto.
Croatia were not the favourites to reach the last four again but they came through two penalty shootouts in a repeat of their 2018 exploits.
Real Madrid continued their march towards a 35th LaLiga title
Rayo Vallecano came from behind to beat Real Madrid 3-2 on Monday with the champions failing to reclaim top spot in the standings after two consecutive games without a win.
Photos from the La Liga matches played on Sunday
Liverpool boss Juergen Klopp has said his team will be 'on fire' for the Champions League final
'What a heart, what a mindset, what guts, what everything, what a REFERENCE you are! I'm at your feet!'
Cristiano Ronaldo scored two goals as Real Madrid thrashed Juventus 4-1 in the final to win the UEFA Champions title, in Cardiff, on Saturday.