The ABF also warned those who remain without a visa and don't attempt to contact government officials: "Anyone in Australia without a valid visa will be subject to enforcement measures aimed at locating, detaining and removing them from Australia ... and may also face a three-year re-entry ban".
Several African athletes escaped from the Gold Coast 2018 Commonwealth Games, majority from Cameroon.
The Refugee Advice and Casework Service (RACS) group in Sydney said it had received enquiries from several of them but declined to reveal the exact number or the countries of origin.
Athletes from Cameroon enter the stadium for the Opening Ceremony.
But Ms Dale, who was unable to give precise numbers due to privacy issues, said it was more than 19.
They were said to have absconded over three consecutive nights.
"The men, women and families who are recognised as needing protection in Australia are allowed to remain only after a complex and hard process". We just hope there's a fair legal process.
Home Affairs officials have refused to confirm if any of the missing athletes or officials have returned home since the Games finished on April 15.
"I know that some of them have already been given bridging visas, so you don't get detained".
Mr Addington was not personally involved in the athletes' cases, but said he'd spoken to advocates who were.
Australia Home Affairs Minister Peter Dutton promised when the first athletes were reported missing his staff would track them down. Two weightlifters from Cameroon, Francois Etoundi and Simplice Ribouem, were both granted refugee status and competed for Australia in 2018.
"If people have claims to make, or they have submissions to put to the department, then we'll consider all of that in due course", Dutton said.