The Reds have so far rejected two approaches from the La Liga giants for the playmaker and were forced to release a statement on Friday morning insisting they would not let Coutinho leave the club.
Borussia Dortmund and France forward Ousmane Dembele remains Barcelona's top target, with the Spanish side set to return with an improved 140m euro (£127m) bid for the 20-year-old.
If Barcelona fail to sign Dembele or Coutinho, they could pursue 28-year-old Inter Milan and Croatia winger Ivan Perisic, who is a long-term target for Manchester United.
Paris St-Germain midfielder Angel di Maria, 29, has emerged as a surprise target for Barcelona as they seek to replace Neymar following his move to the French club.
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