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The Gunners star has been told to meet with Arsene Wenger and push through a move to the Nou Camp.
Spanish outlet Don Balon claim Barca are not prepared to wait until the end of August to sign Bellerin.
They also say Ernesto Valverde’s side have leaked a list of possible alternatives to try and convince the 22-year-old to make the move.
Bellerin has established himself as first-choice at Arsenal.
Last season he made 42 appearances in all competitions helping the Gunners to and FA Cup win.
Don Balon say the next few days will be key if Bellerin is going to leave the Emirates for Barca.
Wenger is overhauling his squad following the disappointment of finishing fifth in the Premier League and missing out on Champions League football.
The Gunners have already signed Sead Kolasinac and Alexandre Lacazette for a club-record £52m.