Remember, the USWNT sued the Federation back in March for gender discrimination -- claiming,  "The female players have been consistently paid less money than their male counterparts."

Now, U.S. Soccer Federation president Carlos Cordeiro is responding in an open letter ... essentially saying he hears what the women are saying -- but the numbers don't back up their claim.

"U.S. Soccer has, over the past decade, paid our Women’s National Team more than our Men’s National Team in salaries and game bonuses, and we continue to make unprecedented investments in our women’s program," Cordeiro wrote.

Cordeiro included a "fact sheet" that spells out his case and explains ...

"From 2010 through 2018, U.S. Soccer paid our women $34.1 million in salaries and game bonuses and we paid our men $26.4 million -- not counting the significant additional value of various benefits that our women’s players receive but which our men do not."

Cordeiro says the Men and Women have different pay structures based on how they negotiated their Collective Bargaining Agreements ... including more guaranteed pay salary for the women and different ("more robust") benefits packages.

The men CAN earn larger bonuses ... but they're guaranteed nothing, according to Cordeiro.

Corderio also says when you break down the revenue generated by each team, the men come out on top ... by far.

"From 2009 through 2019 -- a timeframe that includes two Women’s World Cup championships -- the Women’s National Team has earned gross revenue of $101.3 million over 238 games, for an average of $425,446 per game, and the Men’s National Team has earned gross revenue of $185.7 million over 191 games, for an average of $972,147 per game."

"More specifically, WNT games have generated a net profit (ticket revenues minus event expenses) in only two years (2016 and 2017). Across the entire 11-year period, WNT games generated a net loss of $27.5 million."

Still, Cordeiro says, "U.S. Soccer does not view these as losses, but rather as an important investment in our Women’s National Team and in the long-term growth of women’s soccer."

Molly Levinson -- a spokesperson for the U.S. Women's National Team -- is responding to the letter ... essentially saying it's a crock of BS.

"The numbers USSF uses are utterly false which, among other things, inappropriately include the NWSL salaries of the players to inflate the women’s players compensation."

She adds, "Any apples to apples comparison shows that the men earn far more than the women. The fact is the women’s team requested the same compensation structure as the men have, so they would be paid equally for equal performance."

"The USSF fact sheet is not a 'clarification.' It is a ruse."

"Here is what they cannot deny. For every game a man plays on the MNT he makes a higher base salary payment than a woman on the WNT. For every comparable win or tie, his bonus is higher. That is the very definition of gender discrimination. For the USSF to believe otherwise, is disheartening but it only increases our determination to obtain true equal pay."