It's in his best interests to get treatment at a hospital overseas."Life support was withdrawn from Alfie, who has a rare degenerative brain disease, on Monday after an appeal to the high court was turned down".
A "last-ditch appeal" in which the Italian Ambassador granted Alfie citizenship of Italy in order to take him to Rome for treatment failed on Monday.
The boy's father, Tom Evans, told reporters at 7am on Tuesday morning that Alfie's life support was withdrawn around 9pm on Monday night but that he was breathing on his own and had been given oxygen.
"Moved by the prayers and vast solidarity shown little Alfie Evans, I renew my appeal that the suffering of his parents may be heard and that their desire to seek new forms of treatment may be granted", he said on Twitter Monday.
Alfie's parents campaigned unsuccessfully to prevent Alder Hey Children's Hospital stopping the youngster's life support, and protesters backing the family have been demonstrating outside the hospital.
Mr Justice Hayden, speaking after an emergency hearing in the Family Division of the High Court in Manchester, called Alfie a "warrior", but said the case had reached its "final chapter".
If Alfie can't leave the United Kingdom, attorneys for his parents say they want Italian doctors to be able to come to Britain to evaluate and treat Alfie. "The parents can't take a child to the hospital and then not be allowed to access another option for treatment".
Alfie Evans, who is 22 months old, has a rare degenerative neurological condition which has not been definitively diagnosed.
If that happens, it may be days before they can get Alfie home.
Alfie's parents have recorded their son yawning, stretching and opening his eyes as they believe it is evidence that doctors shouldn't give up on him yet. Doctors at Alder Hey have said life-support treatment should stop because further treatment was futile.
The dispute ended up in the courts, but the family have already lost a series of appeals in the High Court, Court of Appeal, Supreme Court and European Court of Human Rights.
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An air ambulance is at Alder Hey Hospital ready to fly Alfie Evans to Italy if a court decides he is free to go.
The Italian Ministry of Foreign Affairs has even granted the 23-month-old Italian citizenship in an attempt to transfer him to the country.
A spokeswoman for the Christian Legal Centre, which is assisting Tom Evans and Kate James, said they meant to ask the judge to consider allowing medical experts in Italy to examine Alfie.
During the hearing, Justice Hayden appeared to blame the parents for not being able to take Alfie home.
They said that Evans had recently grown "stronger and more responsive", noting that he could take a few breaths on his own and was stretching, coughing, swallowing, and yawning.
Evans was asked what intervention doctors had made. What does the United Kingdom lose if Alfie Evans gets on a plane?
Earlier British court rulings blocked further medical treatment and ordered the boy's life support to be withdrawn.
As appeal efforts were unsuccessful, life support was removed on Monday night, but Alfie remains alive, defying expectations.