The France international is desperate to move to the Camp Nou and assume Neymar’s role after the Brazilian’s switch to Paris Saint-Germain.
Reports earlier this week suggested that the Blaugrana have agreed an initial €100m, but the Bundesliga side want a further €30m in bonuses.
The 20-year-old was seen packing bags into the back of a black Mercedes A-Class by German publication Bild, suggesting he is ready to move to Spain.
Dortmund have been frank about discussions with Barcelona for their star player in recent weeks but insist a deal is “not currently likely.”
A statement read: “Borussia Dortmund has held talks with the Catalan football club FC Barcelona regarding the possible transfer of the BVB player Ousmane Dembele to FC Barcelona.
“During this meeting, the representatives of FC Barcelona submitted a bid which did not match the player’s extraordinary footballing ability or value to the club, nor the present economic market situation of the European transfer market. BVB therefore rejected this offer.
“As there is no other offer from FC Barcelona to date, there is currently no transfer of the player to FC Barcelona and this is not currently likely.”