The 15-month-old girls, Nima and Dawa, were doing well after the surgery that lasted nearly six hours, said Joe Crameri, the head of pediatric surgery at Melbourne's Royal Children's Hospital.
Nima and Dawa underwent surgery on Friday.
The worst-case scenario would be if the girls shared a component that is vital to both. The girls are expected to remain in hospital for at least a week, Crameri said.
Doctors said they were confident the twins were now ready for the operation.
"We didn't find surprises", said lead pediatric surgeon Joe Crameri, "we knew the liver would be connected.it was divided successfully without any major bleeding".
Conjoined twins, 15-month-old girls, were separated in an intense six-hour surgery in Australia on Friday.
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The family stayed in a retreat outside Melbourne run by the Children First Foundation, a charity which also raised the money to support the Australian surgery.
The charity's chief executive Elizabeth Lodge said the toddlers' mother Bhumchu Zangmo was feeling "a little bit scared" about the operation, but was otherwise in good spirits.
Their mother Bhumchu Zangmo was understandably nervous before the operation, but spent today praying and meditating at a Buddhist temple. "She tends to. always be on the top, pulling rank, as we say, and Dawa's more placid", she said.
One of the biggest operating theatres was commandeered for the procedure, which involved two teams of anaesthetists - one for each sister.
Because doctors in their home country are not equipped to separate them, the twins flew to Australia last month for the important surgery. They could stand but only at the same time. A few of the muscles on her limbs are not developed, because they have not been used.
Images shared by the Royal Children's Hospital show the girls lying on separate beds for the first time in their short lives.