"Due to a contractual issue and due to Liverpool's desire, we can not provide the exact figures, but there has been a very significant reduction [in price]", said Barcelona Vice President Jordi Mestre.
The success also arrived in a good-news week for the club as they finally landed long-term transfer target Philippe Coutinho from Liverpool, with the Brazilian set to be confirmed as a Barca player imminently.
The Frenchman, signed for 105 million euros from Borussia Dortmund at the start of the campaign, was included in the line-up here for the first time since tearing his hamstring almost four months ago.
After a jittery start when he lost possession twice, Dembele showed his speed by dribbling to the edge of the area where he unleashed a powerful strike that goalkeeper Oier Olazabal did well to parry.
The playmaker joined Barcelona after Liverpool agreed to sell him for £142 million, making him the third-most expensive player in the world behind Paris Saint-Germain duo Neymar and Kylian Mbappe.
"We will wait until I have seen him train for a day at least until we talk about that", added Valverde when pressed on where the ex-Inter Milan man would fit into his team.