(CNN) Mediation talks between US Soccer and the United States women's soccer team over a gender discrimination lawsuit filed by the players earlier this year have broken down, according to a spokesperson for the players.

Both parties had agreed to meet in New York this week but statements issued Wednesday indicate that they are far apart and, with no further talks scheduled, the case could result in a showdown in federal court.

"We entered this week's mediation with representatives of USSF full of hope," the players' spokesperson Molly Levinson said in a statement to CNN Sport. "Today we must conclude these meetings sorely disappointed in the federation's determination to perpetuate fundamentally discriminatory workplace conditions and behavior."

"It is clear that USSF, including its board of directors and president Carlos Cordeiro, fully intend to continue to compensate women players less than men. They will not succeed," Levinson said.

"We want all of our fans, sponsors, peers around the world, and women everywhere to know we are undaunted and will eagerly look forward to a jury trial."