The former Reds star has been transfer listed by Barca this week as they seek raise transfer funds with fringe player sales.
Marca reports a host of clubs including Liverpool have been linked with acquiring the Brazilian playmaker.
But the Reds are not interested in re-signing Coutinho.
The 27-year-old made the £142million move to Spain in 2018, but endured a difficult first full season with the La Liga winners.
He found his scoring form for Brazil on Friday as he scored a brace in their Copa America win over Bolivia.