But the Spanish champions found themselves two goals down to Valencia following efforts from Kevin Gameiro and Rodrigo Moreno in the opening 45 minutes.
After the full-time whistle, Messi looked visibly upset by Barcelona’s latest capitulation in a high-profile game and the Argentine was consoled on the pitch by Suarez, who missed the game as he continues his recovery from knee surgery.
But Gerard Pique insists the players want Valverde to remain at Camp Nou.
‘We want him to continue but it is a decision that does not depend on us and now it is time to value how the season has gone,’ Pique said after Saturday’s defeat.
‘We have said several times that we want Valverde to continue.
‘We have a lot of time to reflect on individual and group performance, we have a long summer to get better.
‘There are no excuses, we are obliged to win all competitions.’