"The complex task of anaesthetizing two matching girls exactly the same time, who share an unknown level of circulation, will begin at 8:45am".
"There is nothing better in any operation than to be able to go to the parents and say 'we've been able to look after your child, '" he said.
The girls' pediatric surgeon, Dr. Joe Crameri said the surgeons found no unexpected complications during the operation, and that they "feel quietly confident that we will have a good result".
The cost of the flights and accommodation was covered by the Children First Foundation, an Australian-based charity that gives children from developing countries access to specialist surgeries and medical care.
'We saw two young girls who were very ready for their surgery, who were able to cope very well with the surgery and are now in our recovery doing very well, ' Dr Crameri said.
Born via a caesarean section a year ago, the girls are believed to be Bhutan's first conjoined twins. All the doctors, nurses and surgical equipment assigned to each girl were also colour-coded.
Elizabeth Lodge, from the charity, said Ms Zangmo had felt "a little bit scared", but had shown "extraordinary calmness" before the procedure. "But we just did not know what we would find".
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The doctors planned to split the surgical team in half once the initial separation was complete.
About 18 people will be in the operating theatre - including Bhutanase paediatric surgeon Dr Karma Sherub, who flew into Melbourne this week.
Conjoined twins have been successfully separated after undergoing a six-hour long surgery in Australia.
Dr Sherub first met the girls when they were only a day old and played a major role in getting the twins to Australia, having already spent time in the country as the victor of a medical scholarship. They arrived in Australia last month and their surgery started Friday morning after doctors deemed them ready.
"The muscles in their limbs have not been used so far, because they have not learnt to crawl and do the usual stuff kids at this stage do", Dr. Sherbub explained.
The girls were separated for the first time in a six-hour surgery at Melbourne's Royal Children's Hospital.