Turkey beat Croatia 3-1 on penalties after their Euro 2008 quarter-final finished 1-1 following extra-time on Friday. They will meet Germany, who beat Portugal 3-2 on Thursday, in the first semi in Basel on Wednesday.
Croatia got their Euro 2008 campaign off to a winning start on Sunday when a fourth-minute Luka Modric penalty proved enough to beat co-hosts Austria 1-0 in the opening game of Group B.
Croatia thrives on being considered underdogs and warned that the 2018 World Cup runners-up have what it takes to reach the final again.
The result continued a dismal streak for Madrid, who have won only two of their last five games in all competitions
Real Madrid did well to hold Atletico in regulation time and then win the match 4-1 in penalty shootouts.
"Mateo, Luka and Marcelo are the best Croatia midfield in history. I don't think it can be repeated. When you pass them the ball it is safer than having your money in the bank," the defender said.
Lionel Messi's fifth-place finish in this year's Ballon d'Or vote was absurd, Barcelona coach Ernesto Valverde said of the Spanish champions' Argentina forward on Tuesday.
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.
Real Madrid thrashed arch-rivals and league leaders Barcelona 4-0 to reach the Copa del Rey 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."
Croatia beat Brazil in the quarter-finals, but for Dalic, Saturday's bronze medal game was the highlight of their tournament.
Real Madrid captain and centre back Sergio Ramos is "100 percent committed" to the club, new coach Rafa Benitez said on Thursday, amid continued speculation the Spain defender could be on his way to Manchester United.
Di Maria to retire from international soccer after World Cup
Real Madrid's trophy aspirations could well depend on how well they cope with an injury crisis that sees Gareth Bale and Luka Modric in the treatment room.
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.
Scotland stay in hunt for quarters with 1-0 win over 10-man Croatia
Real Madrid midfielder Luka Modric urged Neymar to join him at the Champions League winners after swapping shirts with the forward following Sunday's international friendly between Brazil and Croatia.
Real Madrid equalled a Spanish record of 39 games unbeaten in all competitions by crushing struggling Granada 5-0 on Saturday to go six points clear at the top of La Liga.
Lorenzo Insigne curled a quite wonderful shot beyond the reach of Belgium goal-keeper Thibaut Courtois after jinking in from the left flank.
Juventus striker Cristiano Ronaldo would like Barcelona's Lionel Messi to leave Spain and rekindle their rivalry by joining him in the Italian top flight.
A diving header from Mario Mandzukic took a deflection off the Nigerian midfielder and crept into the goal for a deserved lead as Croatia dominated the count of chances created in the first 45 minutes.
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 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.
'We had a fantastic goalkeeper today, Livakovic, he was great, he was insurmountable, he defended the penalties in a very strong, stable manner.'
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.
Kevin De Bruyne netted a stunning equaliser with a rasping low strike to give Manchester City a 1-1 draw against Real Madrid
Vinicius Jr came off the bench to score once and set up another goal to steer champions Real Madrid to a 4-1 fightback victory over Espanyol.
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.
Several players across the continent are poised to make a name for themselves on the international stage.
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.
Neymar will have extra motivation against Croatia, as he is one goal away from equalling Pele's record
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.
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.
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.
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.
IMAGES from UEFA Champions League matches played on Tuesday