DEAUVILLE, France—The U.S. Soccer Federation and the 28 players in the U.S. women’s soccer team player pool suing it for pay discrimination have tentatively agreed to pursue mediation after the World Cup ends, according to people familiar with the situation.

If the mediation goes forward, it could resolve issues detailed in the players’ March 8 lawsuit and end a yearslong conflict between the defending World Cup champion U.S. women’s soccer team and U.S. Soccer. The suit was filed just three months before the U.S. women began...