The result saw the club mark their longest run without scoring in their history, before Marcelo's second-half consolation.
And fans have now expressed their indignation on Twitter, with manager Julen Lopetegui now under serious pressure at the club.
Phenomenal first half from Levante proves enough. They pounced on a hesitant Real Madrid lacking confidence. Late reaction not enough and Lopetegui is in serious trouble.— David Cartlidge (@davidjaca) October 20, 2018
Deserved three points for Levante, they stuck to their game plan very well, yet again. Real Madrid get the goal they needed, but no points is dreadful. 38 points for Levante under Paco Lopez since MD28 of last season, while Real Madrid have just 36.— Simon Harrison (@simonhfootball) October 20, 2018
In other words: Real Madrid's last run of form this bad was just before they signed Cristiano Ronaldo.— The Spanish Football Podcast (@tsf_podcast) October 20, 2018
16: @realmadrid 1-2 @LevanteUD— Sam Leveridge (@samleveridge) October 20, 2018
Goals: Morales (0-1, 7’), Marti (0-2, 11’, pen), Marcelo (1-2, 72’).
Stadium: Estadio Santiago Bernabéu.
Lopetegui’s day’s are numbered, can’t think of having ever seen a display as bad as that from Real Madrid, particularly in the first half. pic.twitter.com/C4ZRX453Sk
Real Madrid chose to replace their consistently good goalkeeper in the summer rather than the man who averaged 50 goals per season over his nine years at the club.— Andrew Gaffney (@GaffneyVLC) October 20, 2018
I wonder how much Lopetegui regrets saying adobos to Spain to join Real Madrid?— Rob Palmer (@robbopalmer) October 20, 2018
I suspect it’s a question of how quickly they can find a successor?
Will he be given one Clasico to manage?
Real Madrid getting better and better as a TEAM after Zidane and CRonaldo left. Losing only 2-1 at home vs Levante today— Jan Aage Fjortoft (@JanAageFjortoft) October 20, 2018
Real are now fifth in La Liga, three points behind shock leaders Alaves.