The Catalan club have reportedly paid the Brazilians €10 million to guarantee the signing of the in-demand forward before 2014, but his parent claims that no deal has been agreedBarcelona would be a "special option" for Neymar but there is no agreement between the two clubs for a deal, according to the Santos attacker's father.
The 19-year-old was part of the Santos side who were well beaten by Barca in the final of the Club World Cup on Sunday, a 4-0 victory for the Catalans, and the young forward admitted that the La Liga side had handed his team a footballing lesson in that match.
The youngster was heavily linked to both Barca and their fierce rivals Real Madrid in the summer but recently signed a new contract with his current club.
"Neymar has a contract with Santos until 2014," the player's father told ONA FM.
"We believe it is in his best interests to stay, grow and mature as a footballer at Santos."
Reports in Spain on Tuesday and Wednesday claimed that Barca had already paid €10 million to the South American champions in order to guarantee the signature of the young prodigy before 2014, with AS stating that failure to sell to the Catalans would result in the Brazilians having to make a payment of €20m to the Spanish outfit.
However, Neymar Senior says that no such agreement is in place.
"We have just renewed his contract until 2014 - that is what has been decided," he explained.
"The only agreement that exists is between him and Santos."
He did, however, admit that a move to either Barca or Madrid would represent an attractive proposition in the future.
"They are two great teams and Neymar would be proud to sign for either of them," he revealed.
"Barcelona would be a special option but there is no agreement."
And the forward's father also admitted that it had been a privilege for his son to play against the European champions, despite ending up on the losing side in Japan on Sunday.
"Barca were clearly superior and it was a privilege for Neymar to be able to face a team that plays such wonderful football," he continued.
"Neymar must know how to win and how to lose; he saw an interview with Pep Guardiola after the final in which he said that training consists of losing in order to then go on and win.
"Neymar understood that victories are not built solely on other victories and we spoke about that after the game."
The young prodigy also greeted Barca president Sandro Rosell after the match, although there was no dialogue concerning a possible move in future, his father revealed.
"Neymar met Rosell on the pitch during the celebrations and they congratulated each other with mutual respect, but there was no more than that," he insisted.
Starting last month and continuing all through January, Goal.com will publish extracts from Graham Hunter's highly-anticipated book, 'Barca: The Making of the Greatest Team in the World'. In this Friday's extract, he looks at Pep Guardiola's early beginnings at Barca B in the Spanish third division ahead of his meteoric rise to world domination with the first team. Don't miss it!