Barca will hope the injury to their star player is not serious, particularly with a handful of hard fixtures coming up.
Barca have not won a Clasico without Messi since he made his debut for the club in 2004 and they failed to beat Athletic Bilbao when he was rested last month.
At the least, he will miss the Champions League match against Inter Milan on Wednesday, and the clasico against Barcelona next Sunday.
He was only on the pitch for 26 minutes before being subbed out with an injury and was replaced by Ousmane Dembele.
"We leave with a bitter taste in our mouths because we aren't taken anything", said Vazquez.
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"Emotionally we know when Messi is there he gives us more confidence because he is the best in the world", Pique said on Saturday.
"Psychologically we know that when he is there we are stronger but we can not allow his absence to affect us", Barca center-back Pique said.
Suarez was screaming for a penalty before half-time when he fell under a cynical off-the-ball challenge from Daniel Carrico, but the referee's attention had been on Nelson Samedo, who squandered the opportunity with a frightful shot into the side-netting.
The vultures are circling around Julen Lopetegui as he endures a nightmare start to life as Read Madrid head coach.
And Inter are hugely disappointment that they will be unable to go up against the five-time Ballon d'Or victor. You notice when he is not there, but whether he is with us or not, we have to keep going.
Madrid defender Marcelo said the players were behind Lopetegui.