The latest negotiation centres around equalising travel benefits.
The All Whites are currently entitled to business class flights for any travel that exceeds five hours, when they are representing their country, though the players made a significant financial contribution to that cost during the current window.
The Ferns don't have a similar arrangement.
All Whites' striker Chris Wood offered his support.
"My sister Chelsey also played for New Zealand," said Wood in a statement. "She went to two Under 20 World Cups, and is one of the best players of her generation."
"The road for her to success was so much harder because she was a woman - playing in a part of the game which isn't as highly regarded, or supported, as it should be. What we are trying to do is just a small step. But it might just cause a ripple that people sit up and notice and all the lads are 100% behind that."
"I think it's important to understand what we are asking for" added NZPFA Chairman Harry Ngata. "We are not asking New Zealand Football to extend beyond its means or to suddenly be responsible for playing all our players a living wage: it's about dignity, and respect.
"Our Football Ferns should be given the same opportunities to succeed as our men - and they should be recognised for their contributions to football in our country. That means supporting their development, being respectful of their need to work and study, and inviting them to banner events like the football dinners and major games."
NZF CEO Andy Martin was unavailable to comment on the negotiations on Tuesday, with an NZF spokeman saying that "such employment related negotiations are always a private matter."