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The Alfie Evans' case will have a High Court hearing later today.
Mr Justice Hayden has said the hearing is scheduled to start at 3.30pm.
At 9.17pm his life-support was withdrawn, however, the 23-month-old surprised everyone by continuing to breath and was given oxygen by medics.
His parents Tom Evans, 21, and Kate James, 20, are at the little boy's bedside at Alder Hey Hospital in Liverpool, where Alfie was being treated for an undiagnosed brain condition.
Speaking this morning, Tom said: "Nine hours he has been breathing now. It's actually come to the point where his mum is asleep next to him. She can actually go to sleep next to him. She feels comfortable with him."
When asked by a journalist how long the little boy had been able to breath unaided, he said it was 'a few minutes'.
He continued: "They say Alfie is suffering. Well look at him now. He's not even on a ventilator and he's not suffering.
"He is still working and doing as good as he can but we do need him to be supported in the next hour.
"It is going to be hard and we will need him to be supported in the next hour or two because he's been doing it for nine hours totally unexpected.
"I do believe he will need some sort of life support in the next few hours."
He has previously been granted Italian citizenship by the Ministry of Foreign Affairs of Italy. In a statement on its official website the Ministry says: "Ministers Alfano and Minniti have granted Italian citizenship to little Alfie.
"In this way the Italian government hopes that being an Italian citizen will allow the child immediate transfer to Italy."
This is the latest in a number of court battles between the parents and the hospital, which say it is in the child's best interests to withdraw life support as his brain condition, which has never been diagnosed, cannot be treated.
The family want to fly Alfie to Bambino Gesú, a hospital in Rome, where experts have reportedly said they will treat the little boy.
Both hospitals have given the same prognosis for Alfie, the Liverpool Echo reports.
Appearing at the Court of Appeal in London for the second time last week, the family argued that their parental rights, and Alfie's human rights, are being disregarded. However, upon appeal, the judges upheld the original decision.
Speaking at the time, Tom said: "This is not justice. This is a cruel, murderous bureaucracy.
"We have instructed our lawyers to submit an urgent application to the European Court of Human Rights, and they have done so today.
"We will not give up. We will continue to fight, by all means available to us within the law, to save our son's life."
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