Oksana and Mel Meet Separately With Judge

Oksana Grigorieva and Mel Gibson met separately today with Judge Scott Gordon, to try and resolve their epic custody battle over baby Lucia.

We're told Oksana met with Judge Gordon in the AM, and Mel showed up today at 1:30 and is still in the judge's chambers.

The centerpiece of their dispute is an agreement Oksana and Mel signed, which lays out a custody and visitation schedule. Under the agreement, the dueling parents would have 50/50 custody when Lucia turns 3.

Oksana has tried to repudiate the agreement, while Mel is fighting to keep it in place.

As for the prospects of settlement, Judge Gordon has worked miracles in his chambers .... notably he actually got Jamie and Frank McCourt to agree on the terms of their divorce, and no two people hate each other more -- except maybe Kelsey Grammer and Camille.