A baby girl dumped on a Sydney doorstep is back with its mother as police continue to search for the tot's father.
The one-year-old child, called 'Mai' by authorities, was found outside an Auburn home on Monday night, after a man, who did not want to be named, answered his doorbell and discovered her staring back.
She was wrapped in a blanket and appeared well-cared for.
Mai's mother turned herself into Auburn police on Tuesday after police and community services made a desperate appeal to the public.
The pair have been fully reunited and are being housed at accommodation adjacent to Villawood immigration detention centre, in Sydney's west.
A Family and Community Services (FACS) spokesman said both mum and bub are in good health.
''Family and Community Services returned baby 'Mai' to the permanent care of her mother yesterday evening,'' the spokesman said on Friday.
''Caseworkers reported that the pair was visibly delighted to be reunited.
''Mother and child will be housed in the residential unit of the Villawood Immigration Detention Centre.
''FACS caseworkers will continue to make regular visits while the pair is housed at Villawood to ensure their ongoing wellbeing.''
It remains unclear if the mum and bub face deportation.
The immigration department has previously said the baby's mother was an ''an unlawful non-citizen.''
Refugee advocates have indicated that they will monitor the case.
NSW Police are still looking for the baby's father, though there is no warrant for his arrest.
It remains unclear who left baby 'Mai' in Auburn.