The Brazilian is reported by The Daily Mirrorto have told those close to him he was considering a move to Manchester United after becoming unhappy with his contract.
United are known to have tracked Neymar throughout the summer, however, he now appears ready to commit his future to the Nou Camp.
Any new deal could see his wages soar to over £200,000 a week - double what he is currently on.
The 23-year-old would become the second highest paid player at the club behind Lionel Messi.
It is believed he has a clause in his contract that states his deal must be renegotiated in its third season.
Neymar signed for the cub from Santos in the summer of 2013.
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Neymar is reportedly ready to sign a new deal with Barcelona
However, their pursuit ended up going nowhere and the club opted to sign French teenager Anthony Martial instead.
They have just three recognised strikers at Old Trafford and are thought to still be in the hunt for new recruits after selling Javier Hernandez and Robin van Persie.
But any future moves for Neymar might now be blocked if he signs a new deal.
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