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One of the conjoined twins - Source: ONE News -
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One of the twins separated this week, Trishna, has awoken from her medication-induced sleep.
A Royal Children's Hospital spokeswoman said Trishna awoke on Thursday and was greeted by her guardian Moira Kelly, of the Children First foundation, who has kept a bedside vigil.
The spokeswoman said sister Krishna could wake soon as part of a planned process of bringing the pair back from their rest following 32 hours of historic separation and plastic surgery.
"They are being weaned off medication and slowly woken," she said.
The girls, discovered in an orphanage in Dhaka, Bangladesh, in 2007, are recovering well late on Wednesday, hospital spokeswoman Julie Webber said.
"They are doing well. They are stable and are showing good vital signs," she told AAP.
The hospital has stuck to forecasts before Monday's operation that the twins have only a 25% chance of complete recovery, a 50% chance of brain damage and a 25% chance one of them will die.
But their guardian, Moira Kelly, says her girls have defied the odds in surgery that she described as "a miracle".
"To see these two beautiful little people, two brave, brave little girls ... and I'm in the middle of them," a tearful Kelly told reporters on Wednesday.
"I can't comprehend, it's like being in the twilight zone.
"They are so good and looking really good.
"They are in two cots and I was standing in the middle of them, which is something I've never done before - it's amazing."
Kelly, the founder of the Children First Foundation, was instrumental in bringing the conjoined twins from the orphanage to Melbourne in December 2007.