Neymar went public with his praise of the Liverpool star earlier this week.
The Brazil international said that Coutinho would be a welcome addition at the Nou Camp.
Spanish newspaper Sport claimed last night that the player's representatives were in contact with Barcelona over a move to the Nou Camp.
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Neymar has angered Barcelona chiefs over comments made about Philippe Coutinho
Neymar said last week he would love Barcelona to sign Philippe Coutinho
But despite a transfer seemingly edging closer, Barcelona chiefs are not happy with Neymar.
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They believe Neymar is belittling team-mate Ivan Rakitic by praising his compatriot.
Should Coutinho arrive then Rakitic is likely to be the fall guy.
Lionel Messi would prefer Barcelona to sign Angel Di Maria
The Liverpool playmaker could also replace club veteran Andres Iniesta, whose future at the club is in doubt.
While Coutinho is a Barcelona target, star man Lionel Messi would rather the club invest their money elsewhere.
Angel Di Maria and Real Madrid ace Isco both have the backing of Barcelona's No 10.