Barcelona are said to be keen on keeping the French youngster for now as he shows flashes of brilliance at the Nou Camp.
Barca boss Ernest Valverde is said to be frustrated with Dembele.
The former Dortmund man was left out in a recent match against Real Betis after missing a training session with a supposed stomach problem.
The reports also claim Dembele has turned up for a training session two hours late recently.
Ousmane Dembele has been linked with a move to Liverpool or Arsenal (Image: GETTY)
Ousmane Dembele has been praised by his Barcelona team-mate Lionel Messi (Image: GETTY)
As well as Liverpool and Arsenal, Chelsea are said to be interested in the Barcelona forward.
Mundo Deportivo claim Dembele has been summoned for talks with bigwigs at the Catalan club.
Dembele has netted eight goals and provided five assists in all competitions this season.
The forward could feature tonight in the Champions League clash with Tottenham from 8pm at the Nou Camp.
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ESPN: Ousmane Dembele to Liverpool COULD happen
Ousmane Dembele is wanted by Liverpool boss Jurgen Klopp (Image: GETTY)