Valencia did manage to halve the deficit three minutes from time, Ousmane Dembele carelessly bringing down Jose Gaya for a penalty which Dani Parejo slotted beneath Marc-Andre ter Stegen. Barcelona remain undefeated through 32 rounds this season.
"They have the most points there, they average three goals per game and have conceded just seven. You want to repay them".
Valencia, meanwhile, have been in fine form this year as they come into this match having won eight out of their last nine league matches.
What are your thoughts on setting a new unbeaten Liga record?
There is no doubt Barca's shock defeat in Italy still lingers, and may still, even if the Catalans secure the first part of an expected domestic double by winning the Copa del Rey next weekend.
Up next for Barcelona is a trip to the Estadio de Balaidos where they will face Celta Vigo in a league game on Tuesday.
Pique, already booked, endured a hard 45 minutes and as he and Marc-Andre ter Stegen dallied at the back and the latter's skewed pass fell to Carlos Soler.
Ter Stegen was at the centre of the game's other dramatic moment - when he gifted the ball to Valencia's Carlos Soler but then brilliantly saved Rodrigo's shot onto the crossbar.
Umtiti beat Gabriel Paulista to Coutinho's corner and while his header was parried by Neto, Valencia's goalkeeper could only push it in off the post.
Real Madrid nearly followed Barca out of the competition on Wednesday, as Juventus raced into a 3-0 lead at the Santiago Bernabeu to level the tie on aggregate, only for an injury-time penalty from Cristiano Ronaldo to send the holders through.