Sources tell TMZ ... Halle is concerned for 3-year-old Nahla when she's in the care of Gabriel. Our sources would not be specific about the violations, but we're told it has to do with requirements Gabriel was supposed to follow when he had custody of Nahla.
The lengthy documents go into great detail about Gabriel's parenting skills, claiming there was once an incident overseas when Gabriel allegedly neglected Nahla, imperiling her safety.
Halle wanted the judge to find Gabriel in violation of the custody order. Gabriel was not in court today, and the judge set a hearing on the matter for later.