Mundo Deportivo says Barca want an answer from Dembele before the January market and have set him a deadline.
The attacker's deal expires in June and if he refuses to commit by the 15th of December, Barca will be seeking to sell him to the highest bidder in January.
However, Barca are determined to raise cash by selling the Frenchman rather than allowing him to run down the final six months of his contract.
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