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Zinedine Zidane was disappointed with his side's performance following their 1-1 La Liga draw with Levante.
Yannick Carrasco and an overly cautious Atleti, perhaps caught peeking at their Champions League date, hardly threatened Valencia in a goalless draw.
Atletico Madrid coach Diego Simeone said his team had played well but "just lacked a goal" in Saturday afternoon's La Liga 0-0 draw at Valencia.
Real Madrid dropped points for the second game in a row as Ivi's early opener earned Levante a 1-1 draw, while Atletico Madrid drew with Valencia.
Valencia and Atletico Madrid both protected their unbeaten records but will have been frustrated by their goalless draw at the Mestalla.
Real Madrid could be without Karim Benzema for over a month, while Marcelo faces a ban of at least two games after his red card against Levante.