The Catalan giants now have huge funds to spend following Neymar’s world-record move to Paris Saint-Germain.
Barcelona received £198m after the French club met Neymar’s release clause this week.
And Philippe Coutinho is Ernesto Valverde’s No1 target to replace the Brazilian superstar.
Jurgen Klopp has maintained the 25-year-old is not for sale.
But according to the Daily Star, Barcelona are ready to put forward a record offer to a British club of up to £120m.
Coutinho, though, is not the only attacker in the La Liga club’s sights.
Barcelona also intend to pay £70m for Borussia Dortmund forward Ousmane Dembele.
London trio Chelsea, Arsenal and Tottenham are all said to be keen on signing the France international, 20.
Antonio Conte wants four new faces still at Chelsea, while Arsene Wenger has highlighted his desire for a winger by also going after Monaco’s Thomas Lemar.
However, Barcelona are set to knock the Premier League clubs out of the running for Dembele as they splash the Neymar cash.
And Chelsea could face further problems on the back of PSG’s world-record acquisition.
The Daily Star add that should Barcelona fail to land Coutinho from Liverpool, Eden Hazard is likely to be next in line for a move.
Conte has admitted he is powerless if Chelsea decide to sell their star winger, who is currently sidelined through injury.
Real Madrid target and Monaco sensation Kylian Mbappe is also a potential option for Barcelona.