The Reds have again told the Catalan giants that Coutinho is not for sale at any price.
Barcelona have now failed with two bids for Coutinho after having a £72m offer rejected last month.
Their latest offer totalled €100m, with an initial €85m plus €15m in add-ons.
Liverpool consider the matter closed but it is not known if the Spanish club will continue their pursuit.
Reports emerging from Spain earlier in the week indicated that a deal was close but those claims were inaccurate as the Reds are not interested in meeting with Barcelona officials to negotiate.
Barcelona are confident that they can entice Coutinho to Spain and the player is interested in the move
But he is not going to force his way out of Anfield this summer against the club’s wishes.
Liverpool tied Coutinho down to a new five-year deal in January which, crucially, does not have a release clause.
That leaves the power in Fenway Sports Group, the club owners, and they would face a huge fan backlash if they weakened their stance and decided to sell.
Klopp spoke with Coutinho after the first bid was rejected to make it clear he did not want him to leave the club.
Coutinho is a major doubt for Liverpool’s Premier League opener on Saturday with a back injury that has kept him out of training for the last week.
The Brazilian has been undergoing treatment at Melwood since the club’s return from their training camp in Germany but the trip to Vicarage Road may come too soon.
