All this came a day after striker Nicolas Anelka was sent home for insulting coach Raymond Domenech at halftime of a 2-0 defeat by Mexico on Thursday in Polokwane that left France on the verge of an embarrassing group stage exit.
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The incidents were sparked by the players' decision to protest against the French Football Federation (FFF)'s decision to kick out Anelka and also by a nervousness among the players after the player's crude comments were leaked to the press.
Sunday's public session, ironically on a pitch called Field of Dreams, was about to start when a furious row erupted between Evra and fitness coach Robert Duverne, leading to the immediate resignation of the team director.
"They don't want to train, it's a scandal," France team director and FFF managing director Jean-Louis Valentin said as he also left the pitch.
"It's a scandal for French people, for the youngsters who came here to watch them train. I'm resigning, I'm leaving the Federation. I have nothing more to do here. I'm going back to Paris."
The training incidents came a day after Evra told reporters a "traitor" within the team had leaked Anelka's insults to the press.
French sports daily L'Equipe put them on their front page and a few hours later, Anelka was kicked out of the squad.
Asked by a reporter on Sunday if he was the "traitor", Valentin replied "no, no, no" and appeared close to tears.
The players then walked towards their bus, carrying their slogan reading: "All together towards a new blue dream."
"We deplore the incident that happened at half time against Mexico but we regret even more the fact that an event that belongs to our group and is inherent to the life of a competitive team was made public," the statement read.
