Credit: Fotonoticias/

Mel Gibson and Oksana Grigorieva faced off in court Wednesday during their ongoing custody battle over daughter Lucia, 1.

Wearing a dark suit and blue shirt and tie, Gibson, 54, arrived first to court in downtown Los Angeles, breezing by cameras around around 8:30 a.m.

Grigorieva, 40, who arrived a few minutes later, was expected to argue that he should not be allowed to have overnight visits with their child because he has a wild temper.

"I'm fighting for my daughter and for her safety and that's all I'm doing," she said on her way to court. "There's no money involved. It's all about my daughter."

Money is involved, however: At the end of Wednesday's hearing, Gibson could be ordered to pay $60,000 in back child support to Grigorieva.

Stay tuned!