Neymar has attracted interest from across Europe, but Rodrigues says that a move to Barcelona is the player's preference.
"Neymar has told us he wants to sign for Barcelona," he told Ser Esports.
"There are other proposals but he has preferences for Barca. There is no official Madrid proposal for Neymar but we know that this offer will come.
"We held conversations in Spain with the Barca board of directors and there are on-going talks but nothing has been decided.
"But the negotiations need to continue because the first bid we were offered was not enough. We know that Madrid had a bid and will be presenting it soon, but I haven't talked to (club president) Florentino Perez.
"We know that the athlete's opinion is important. What we have to do is to find a way to unify the best offer with the player's interest."