Valverde admitted the win, against a Valencia side who had won their last five league matches, was needed to help ease the disappointment of what happened in Rome - where Barcelona lost 3-0 and went out of the Uefa Champions League on away goals after winning the first leg of their semi-final tie 4-1 at home.
Luis Suarez opened the scoring in the 15th minute in typical Suarez fashion, getting in behind the defense thanks to a wonderful pass from Philippe Coutinho.
Barcelona responded to their shock Champions League elimination to Roma by beating Valencia 2-1 on Saturday in a subdued atmosphere at the Camp Nou, setting a La Liga record of 39 games unbeaten and taking themselves a step closer to another title. In that sense, I have to congratulate the players because it's not easy.
The previous unbeaten La Liga record was Real Sociedad's 38 across 1978-79 and 1979-80.
However, Barcelona doubled their lead in the 51st minute when Samuel Umtiti rose high to head it into the net from a corner. We knew the fans could be angry, but we're hurting, too.
DF Gerard Pique, 6 - Had a mixed performance, making a vital early block on Geoffrey Kondogbia and clearing Santi Mina's shot off the line, but also gifted a clear shot to Rodrigo which needed to be tipped behind by Ter Stegen.
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Luis Suarez completely mis-hit an Andres Iniesta delivery into the box before Barcelona began to take control of the tie.
Gerard Pique hustled back to clear a goal-bound shot by Moreno early in the second half after Umtiti slipped and gifted Valencia a ideal opportunity to equalize.
- Samuel Umtiti scored his fist goal in all competitions after 37 appearances this season.
Messi himself shot just wide at the end of a mazy run before Parejo squeezed an 87th-minute penalty beneath Ter Stegen, after Ousmane Dembele carelessly brought down Jose Gaya, but it made little difference to Barca's record-breaking day.
The stalemate left Villarreal in sixth place and Sevilla in seventh.