The family at the centre of an international surrogacy scandal will retain custody of their infant daughter, subject to strict court conditions.

The Gammy case made international headlines earlier this year, after a Thai surrogate mother accused convicted sex offender David John Farnell and his wife, Wendy Li, of abandoning their son, who suffers from Down Syndrome, and taking only his twin sister.

The Department for Child Protection began proceedings in the Family Court after it was revealed Mr Farnell, 56, had been convicted of child sex offences in the 1990s.

Mr Farnell was sentenced to three years' jail in 1997 for sexually molesting two girls under the age of 13.

Just months later, while still imprisoned, he was charged again - this time with six counts of indecent dealings with a child under the age of 13.

Those offences were said to have occurred over a 10-month period in the mid-1990s.

WA Child Protection Minister Helen Morton said on Friday orders had been granted by the court that provided for the baby girl's safety, including;

the appointment of an independent children's lawyer;

the appointment of an independent children's lawyer; the development of a "robust" safety plan; and

the development of a "robust" safety plan; and active monitoring by the department.

"The members of the safety network are all well aware of the issues involved, their role and responsibility in the child's safety and wellbeing, and have formally agreed to report and future concerns to the department," Ms Morton said in a statement.

"I am satisfied that the rigorous safety planning and interim orders that have been granted by the Family Court WA will provide for this child's safety."

Ms Morton said her department conducted a comprehensive safety assessment with the cooperation of Mr Farnell and his wife.

She said she had been granted approval by the chief judge to release details of the baby girl's safety plan.

The media is usually banned from identifying parties involved in Family Court proceedings.