Model, actress and radio personality Pearl Thusi was in a car accident that left her and her daughte.
Bayern Munich winger Ribery and Real Madrid forward Benzema face up to three years in prison and a maximum $55000 (R550000) fine each if convicted.
Both deny the charge and the young woman involved, Zahia Dehar, has testified that the players were not aware that she was not 18 when they had sex with her in 2008 and 2009, respectively.
Although the age of consent is 15 in France, paying for sex with anyone under 18 is a crime.
Dehar, now 21, became a celebrity of sorts following the scandal, having launched her own luxury lingerie line, and has been seen as the muse of German fashion designer Karl Lagerfeld.
The 30-year-old Ribery did not turn up at the court as there was "no victim", his lawyer said, seeking for the proceedings to be held behind closed doors due to their salacious nature.
Ribery has admitted having sex with Dehar but has maintained he did not know she was then under age. Benzema denies any encounter.
Prosecutors had sought an acquittal for the two players and for Ribery's brother-in-law, who was also implicated, but investigating judge Andre Dando argued they must have been aware of her real age.
News of the investigation into Ribery and Benzema broke just before France's disastrous 2010 World Cup campaign, during which unprecedented bickering within the French squad resulted in a player boycott, striker Nicolas Anelka being sent home and one of the favourites being eliminated at the group stage.
The badly tarnished image of "Les Bleus" has yet to fully recover from what has become known as the "Knysna fiasco" after the name of the squad's SA base.