A full investigation is being carried out in Singapore with Singaporean and Australian authorities involved.
The spokesman said they were unable to comment on the "specifics'' of the incident.
"However, the investigation will look at all of the facts and will consider what implications they have against our policies; as well as the policies of Australian and Singaporean air services.''
Australia's Civil Aviation Safety Authority - which carried out the random drug and alcohol test - is also involved in the investigation.
A number of passengers took to social media over the weekend after they were made aware of the reason behind the cancelled flights.