Bynes remains on a 14-day psychiatric hold at a hospital.
Paparazzi swarmed the small juvenile court building in Oxnard Friday, hoping to catch a glimpse of Bynes' parents. They left through a rear door without talking to the media, and their attorney wouldn't give any details.
Ventura County Superior Court Judge Glen M. Reiser delayed a ruling on the conservatorship because Bynes remains under the psychiatric hold, and they wanted a chance to speak with her.
According to court documents obtained by several news organizations, Bynes' parents say she appears to have a substance-abuse problem, and they are deeply concerned she could be a danger to herself and others. They claim she took a cab from New York to Los Angeles, and she spent more than $1.3 million of her savings in a very short time.
With a conservatorship, Bynes' parents would be able to take over her personal and financial affairs.
A hearing was scheduled for Aug. 9 to make the decision. Mary Shae from the Ventura County public defender's office has been appointed as her attorney.
Bynes was placed on a 5150 hold after she allegedly set a fire in the driveway of a home in Thousand Oaks Monday night. According to witnesses, Bynes was seen lying next to a small plastic gas container that was burning on the driveway.
The troubled actress has been in the news in recent months for a series of scrapes with the law and some bizarre public behavior. Earlier this month, she was in a New York City courtroom to face charges for allegedly throwing a marijuana bong from her apartment in May. She showed up wearing a long teal wig, black sweatpants and a tank top.
The Associated Press contributed to this report.