Actor Mel Gibson is reportedly considering going to family law court here in an attempt to get more custody of his four-year-old daughter Lucia with the former girlfriend Oksana Grigorieva.

Gibson's move follows an incident involving law enforcement and Grigorieva's eldest son with ex-007 Timothy Dalton, multiple sources have confirmed, reports radaronline.com.

The site kept the allegations or details of the police investigation under wraps as Alexander Dalton is a juvenile.

But a source said: `Oksana is terrified that Mel is going to go to court and ask Judge Scott Gordon to give him sole custody of their daughter, Lucia, because of a recent incident. Oksana thinks Mel will try and use this to show the judge that she is an unfit mother.`

It's a setback for the Russian beauty, who recently filed for bankruptcy.