Michelle Levy came home on Monday evening, 48 hours after she ran away from home.
The 11-year-old girl spent two nights with a stranger after she ran away from her North Bondi home following the argument on Saturday that led to a massive community search across Sydney's eastern suburbs.
A man who allowed the Woollahra Public School student to stay at his Randwick unit has been interviewed by police and released without charge.
Adam Levy said he was thrilled his daughter had been found. He also said he did not want to talk about any prior dealings the family might have had with authorities.
"Anything you may have heard had nothing to do with Michelle so we are not commenting," he told Fairfax Media.
The Department of Family and Community services would not confirm whether the Levy family were known to them.
"The Department of Family and Community Services is not permitted to publicly comment about whether an individual child or their family is known to our agency," a spokeswoman said.
"We understand that the department's statutory requirement to preserve the privacy of a family or comply with relevant court orders will at times conflict with requests for information about incidents relating to a child."
It is understood detectives do not believe anything "suspicious" occurred while Michelle was under the care of the man.
Michelle's parents said they found out where their daughter was after a woman from Anglicare rang them to say she had been found in a unit on Mulwarree Avenue on Monday morning.
The phone call came after a two-day search with police and more than 1000 volunteers from the Bondi and Jewish communities.
She was seen on security footage at Bondi Junction on Saturday and Randwick on Sunday.
Mr Levy said he and his wife hugged and cried when they saw their daughter for the first time but did not want to press her for details about where she had been or why she had run away.
The only thing they discussed during their brief reunion was that Michelle had been eating chocolate Pods which she had bought during a shopping trip to Randwick Plaza with the stranger.
"She hooked up with someone on Saturday night - I mean, not in the hook-up sense," Mr Levy said.
"Someone came across her and took her under their wing since Saturday night.
"We don't know exactly what happened. All we know is that they went shopping."
Michelle did not return home in Glenayr Avenue until the media had left their street.
Her father said he did not want to discuss the nature of the argument for fear of embarrassing Michelle.
"It was a discipline issue," Mr Levy said.
"We don't want to embarrass her by having the details broadcast."
Mr Levy said he had taken Michelle and her brother to a cooking class early on Saturday morning, followed by a trip to Centennial Park.
She was dropped home on Saturday night after a birthday party and it was not long before an argument began.
"We didn't really get the chance to talk to her after she got back from the party, we just sort of got straight into the argument," Mr Levy said.
An hour before Michelle was found, her mother, Anne, talked of how she had run after Michelle following the fight but had then left her alone "to let off some steam".
When she didn't return to the house Mrs Levy drove to her parents' house nearby, where she thought Michelle may have gone.
It was not the first time Michelle had run away.
Mrs Levy said she burst into tears when a woman from Anglicare rang her to say her daughter was safe.
"I was in tears, I was so happy," Mrs Levy said.
"She didn't really explain the details but she said Michelle was with her."
Mr Levy said he had no idea who the man was but was glad his daughter had been fed and was looked after.
"I'm happy that she is safe," Mr Levy said.
"I would much rather that she has been with someone and sheltered [and] fed, rather than be sleeping rough and grubbing through skips or whatever for food. I think she is better off this way."
Despite not knowing how or why an older man had befriended his daughter he said he was just thrilled that she was safe and in good spirits.
"She ran up to us and gave us a hug, a prolonged cuddle," Mr Levy said.
He said his daughter seemed "quite chipper" and had not been harmed.
Mr Levy is expected to face court next month charged with common assault.
Police said the incident involved a male and had nothing to do with Michelle.
"He is set to appear at Waverley Local Court on Novemeber 20," a NSW Police spokesman said.