The 23-year-old, who attracted interest from English giants Manchester United over the summer, is in negotiations to extend his contract with the Catalan club which runs out in 2018.
Barca are keen to renew his deal not only because of his influence in the team, but because a new contract would increase his £140m release clause.
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However, ahead of Saturday's El Clasico, his father, Neymar Santos Snr, has raised concern due to tax issues and doubts over his son's future with the club.
He told Spanish radio station Cadena Ser: "We've begun contract renewal talks, but there are outstanding issues that concern us, and which need to be resolved.
"Since we arrived to Spain we have been under attack and it has extended to Brazil. For the last two-and-a-half years, we have had to defend ourselves from accusations.
"We will respect Neymar's contract with Barca but regarding the contract extension, we need a deal that gives us peace of mind for Neymar, my companies and my family."
Neymar had plenty of big money moves on the cards whilst playing for Brazillian club Santos but rejected a move to England to pursue a career with Barcelona in the summer of 2013. Ever since his move to Spain went through, Neymar has been subject to much controversy.
A Spanish court has investigated Neymar's move to Barcelona amidst allegations the La Liga side made a declaration they paid €57.1 million for the player, but in reality spent 'at least' €83.3 million. A lower fee meant less tax for Barca to pay.
In September, a court in Brazil froze assets belonging to Neymar which were reported to be worth around £31.3 million; again, this was due to tax evasion allegations from 2011 to 2013.
Should Neymar leave Barcelona, it would deal a huge blow to the side whom the Brazilian has proved pivotal for since joining. Regarded as one of the world's best, he scored 43 goals in all competitions last season, helping Barca to claim La Liga, the Copa Del Rey and Champions League.
This season, with Lionel Messi out injured, Neymar has been given the chance to shine - and shine is exactly what he has done. He leads La Liga's goalscoring charts so far with 11 goals in La Liga this season.