"Personally I am really looking forward to getting back, starting work, meeting the new manager and his staff and enjoying another year with the club", he said.
The report also claims Neymar has been told "by the side of Messi you will always be second, you will always be in his shadow".
Neymar was linked with a move away from Camp Nou before his new deal effectively ended speculation over a possible transfer to either Manchester United or Paris Saint-Germain.
Barcelona is reportedly interested in acquiring PSG midfielder Marco Verratti if Neymar were to choose to go through with the move. The release clause will increase once more, if Neymar enters the final three years of his contract, then it will rise to €250m.
The Brazil global joined the Catalan giants in 2013 and has played alongside Lionel Messi, the five-time Ballon d'Or victor who is regarded as one of the greatest players in the world. "Playing as he did a year ago, he showed that he is still getting better".
And, as per the aforementioned Di Marzio report, one club are readying a record-breaking offer in the case that Neymar does indicate he is seeking a fresh challenge.
Barca did the double over Valverde's Athletic Bilbao in LaLiga last season, while Messi also curled in a free-kick victor to knock Athletic out of the Copa Del Rey in January.
'It's not our intention to lose players, certainly not good players.
Neymar has had suitors every summer since he arrived at Barcelona, and before, with Real Madrid's move, but nothing has happened.
"At this club it is important to win and play well and we have the players to achieve that - our matches must be a spectacle".