Miguel Muñoz continued refreshing the squad, which he started last season,[1] with Araquistáin as goalkeeper, Pachín, Zoco in defense, and forwards Serena and Grosso playing along Amancio as the beginning of a new era in the club.[2]
The team clinched its tenth League title, the fourth in a row. In the European Cup, the squad reached the Final against Helenio Herrera's Inter losing the trophy by a 1–3 defeat. The Final was the last official match for Alfredo Di Stéfano for the club[note 1] due to chairman Santiago Bernabéu chose not to renew his contract and disagreements with head coach Miguel Muñoz over marking Inter' star Giacinto Facchetti.[note 2][3] On 24 June 1964 the club broadcast an official statement with Di Stefano out of Real Madrid after 11 seasons, during which he won 8 League titles and 5 European Cups.
In the Copa del Generalísimo, the club reached Quarterfinals where it was defeated by Atlético Madrid[note 3] in a tie-breaker match following a 3–3 aggregate draw.
Squad
Note: Flags indicate national team as defined under FIFA eligibility rules. Players may hold more than one non-FIFA nationality.
^Di Stefano wanted Isidro to cover Corso. Muñoz rejected the idea replied him that Facchetti will find a free way to receive passes from Luis Suarez. In the second half of the Final, Di Stefano (from the field) and Muñoz (in the bench) were arguing each other.Alfredo Relaño. ""El verano que se fue Di Stéfano"". El País (in Spanish). Archived from the original on 12 June 2020. Retrieved 18 June 2020.
^Di Stefano played on 10 June 1964 a friendly match in Rouen.
^ According to Di Stefano:"It happened what I'm afraid, they attack with Jair, pulling Pachín out of the defensive line, and Milani, pulling Santamaría. Isidro was lonely, without mission. Milani moves to the wing, pulling Santamaría out of the line, and Zoco has to go deep to the center abandoning midfield. So, they attack with 2 and we defending with 4. In the midfield they are more players. They got the game".