{blackbabes} Halle Berry and Gabriel Aubry Reach Truce in Custody War

After a long court battle and an ugly fistfight outside her house, Halle Berry and her ex Gabriel Aubry appear to have settled their key differences over custody of 4 ½-year-old daughter Nahla – for now.

"The parties have reached an amicable agreement," read a written statement held up by attorney Blair Berk, who represents Berry, after a hearing Thursday in Los Angeles. "There will be no further statements regarding this matter."

Aubry, wearing a black sport coat with dark sunglasses to mask his bruised face, was present, but Berry and her fiancé Olivier Martinez did not attend.

Just exactly what they agreed to – earlier issues ranged from residency to restraining orders – wasn't known.

But the deal was worked out on the same day an emergency protective order issued against Aubry was to expire. That order barred him from seeing his daughter or going anywhere near Berry and Martinez.

It's also unclear whether Aubry's restraining order against Martinez, filed Monday, remains in effect or if it had been, or will be, withdrawn.

Meanwhile, LAPD Commander Andrew Smith tells PEOPLE the Thanksgiving Day altercation between Aubry and Martinez is still under investigation. "Our officers have initially concluded that Aubry was the primary instigator," he says, but adds it's too early to say whether the case will be referred to prosecutors.