Jose Mourinho's men were 4-1 down after Dani Alves and Pedro put the home side ahead. However, second-half strikes from Karim Benzema and Cristiano Ronaldo pulled them back to within one goal of a win.
"Today, we were very superior to Barca," he said.
"We are proud of what we did and of what we have. The fans are also proud. We showed the true 'Madridista' spirit, the spirit of a great group.
"I hope that this week everything that happened during this match will be debated."