Los Blancos struggled to make any impact on Manuel Pellegrini’s side in the Spanish capital as a demanding fixture pile up and an expanding injury list appearing to catching up with his side.
“We lost two points, it is clear,” he told a post match interview with Marca.
“Defensively we were very good, but offensively we lacked many things.
“We have to recover well. We have lost two points, but now we focus on Tuesday’s game (against Chelsea).
“There is a long way to go in La Liga and we are going to fight until the end.”
Following the visit of Chelsea in midweek, Los Blancos play host to Osasuna next weekend before the final four games of the season.
The final stretch of the campaign will be demanding for Zidane’s defending champions as they take on Sevilla, Granada, Athletic Bilbao and Villarreal but Barcelona and Atletico face each other on May 8 in Catalonia.