The visitors scored a goal in the 18th minute and despite not having a dominating presence, managed to take home 3 points. The win places Real Madrid second in group A, while the home team ends up with the group's bottom spot.
Unbeaten Real are a point ahead of promoted Granada and Atletico Madrid after Diego Simeone's side failed to break down their well-drilled local rivals.
Real Madrid climbed to the top of the standings with 14 points from six games, one point and one place ahead of Atletico Madrid, whom they face on Saturday in the derby at the Wanda Metropolitano.
Veteran Croatian playmaker Luka Modric heroically helped drag his country to the World Cup final in Moscow and battled hard to lead his club Real Madrid to their second consecutive Champions League crown.
The French team of 2018 is truly multicultural and should be celebrated across France. A number of African countries can also take pride in the victory.
The man who coached Real Madrid to a third consecutive Champions League title has quit after two years in charge.
Cristiano Ronaldo was criticised for indicating he is unhappy at Real Madrid and may have played his last game for the Spanish football club as the team was still celebrating its Champions League final victory against Liverpool.
In the first half of the Champions League final, Liverpool's Mohamed Salah was forced to leave the pitch with a shoulder injury, which ended up as a big shock for the team, his club manager Juergen Klopp says.
Gareth Bale came on as a substitute, but within three minutes of coming on to the pitch in Kiev he had scored the first of his two goals.
The Spanish giants are targeting their fourth Champions League title in five years and their third in a row in the game. Liverpool will be hunting their first trophy in 11 years.
Holders Real Madrid came from a goal down to snatch a precious 2-1 victory at wasteful Bayern Munich and carry a considerable advantage into their Champions League semi-final second leg in Spain.
For the first time since 1981, teams from Europe's football powerhouse nations of Spain, England, Italy and Germany make up the last four of Europe's elite club competition.
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