Dortmund have rejected a bid from Barcelona for Dembele, the club also fined and suspended him for a week.
The 20-year-old has been linked with a move to Barcelona in recent weeks after Neymar’s departure to PSG.
Dortmund boss Peter Bosz confirmed that Dembele missed training and the club also released a statement.
‘Borussia Dortmund have held talks with FC Barcelona regarding the possible transfer of the BVB player Ousmane Dembele to FC Barcelona,’ the official statement read.
‘During this meeting, the representatives of FC Barcelona submitted a bid which did not correspond to the player’s extraordinary footballing and other abilities, nor to the present economic market situation of the European transfer market. BVB therefore rejected this offer.
‘As there is no other offer from Barcelona to date, there is currently no transfer of the player to FC Barcelona and this not currently likely.’
Dortmund also released a second statement concerning the 20-year-old missing training.
‘Ousmane Dembele missed Dortmund training today without leave of absence. It was apparently a calculated step and will be sanctioned.
‘In addition, Dembele, who is currently in Dortmund despite reports suggesting otherwise, after consultation with the coach will be suspended from training and matches until after this weekend’s cup game.’
Bosz revealed the club tried to contact Dembele but failed.
‘Dembele didn’t show up for training today,’ Peter Bosz told reporters.
‘We don’t know where he is. We couldn’t reach him today.
‘There was no sign yesterday that Ousmane would not be here today. We hope nothing terrible has happened’.