The parents of Alfie Evans are appealing against a High Court decision preventing the seriously ill boy from being taken abroad for treatment, lawyers have confirmed.
READ MORE: Alfie may be allowed home but not to Rome
A spokeswoman for the Christian Legal Centre, representing Alfie's parents, said the case is due to be heard at the Court of Appeal on Wednesday afternoon.
On Tuesday a judge ruled the boy may be allowed home from Alder Hey Children's Hospital, but will not be allowed to go to Rome for further treatment.
READ MORE: Father of Alfie Evans says his son has been 'breathing for nine hours' despite life support being turned off
The 23-month-old confounded doctors' expectations when he continued to live after life-support was withdrawn on Monday night, his father, Tom Evans, said.
"The court of appeal have reached out to us and said they are going to set back three judges to hear the case," Mr Evans told reporters outside hospital on Tuesday night.
"In reality, he could be in Italy right now. We all know the military air force are ready to take him and a team of doctors are there.
"We've also got a German air ambulance team, who attempted to take him in the first place, ready... the reality is these people are eager to get him out of the country and I'm not giving up because Alfie's breathing away, he's not suffering."
Mr Evans revealed that Alfie had at times needed to be helped with his breathing, telling reporters: "At some point I had to give him mouth-to-mouth because his lips went blue and he was really fighting with his breathing so me and his mum were giving him mouth-to-mouth."
At an earlier High Court hearing in Manchester, Mr Justice Hayden described Alfie as "courageous" and a "warrior", but said the case had now reached its "final chapter".
He rejected claims by Mr Evans that his son was "significantly better" than first thought because he had been breathing unaided for 20 hours after doctors first withdrew life support.
Instead, the judge said the best Alfie's parents could hope for was to "explore" the options of removing him from intensive care either to a ward, a hospice or his home.
But a doctor treating Alfie, who cannot be named for legal reasons, said that for Alfie to be allowed home would require a "sea change" in attitude from the child's family, and they feared that in the "worst case" they would try to take the boy abroad.
Mr Justice Hayden ruled out the family's wishes to take the child to the Bambino Gesu hospital in Rome, following interventions from the Pope and the Italian authorities.
Alfie has been at the centre of a life or death treatment battle, with his parents, Mr Evans and Kate James, trying to block doctors from withdrawing life support in a sometimes acrimonious six-month dispute which has seen a series of court battles.
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.
And a late night court hearing heard by telephone by Mr Justice Hayden and lawyers for both sides confirmed his earlier decision permitting life support, helping Alfie to breathe, to be withdrawn.
During another three-hour hearing on Tuesday at the Family Division of the High Court sitting in Manchester, Paul Diamond, from the Christian Legal Centre, suggested the alleged change in the position meant the court should reconsider its decision on allowing Alfie to travel abroad.
He handed the court a witness statement from Mr Evans in which he suggested his son's health was "significantly better" than first thought since life support was withdrawn at 9.17pm on Monday, as he was continuing to live and breathe.
But Mr Justice Hayden said in his ruling: "The sad truth is that it is not.
"With little, indeed no hesitation, I reject that."
Instead the judge said Alfie's continued life was a "shaft of light" and a "special opportunity" for his parents to spend time with him - not the time for more legal manoeuvres.
And he criticised the "malign hand" of one of the family's advisers, law student Pavel Stroilov, who had, the court heard, been party to Mr Evans lodging a private prosecution of Alder Hey Hospital doctors, allegedly for murder.
The judge said, in fact, the hospital had provided "world class" care for the child.
The hospital's doctors and independent medical experts say there is no cure and no hope for Alfie.
Following the court hearing, an Alder Hey spokesman said it was working closely with his parents, but the hospital's "top priority therefore remains in ensuring Alfie receives the care he deserves to ensure his comfort, dignity and privacy are maintained throughout".
Medics say Alfie has a degenerative neurological condition destroying his brain, and it is in his best interests to withdraw life support.
But his parents have fought a long battle to ask the courts to allow them to take him abroad.
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.
Alfie was born on May 9 2016, but suffered seizures and was taken to hospital in December that year.
He is currently being hydrated and given oxygen to stop him becoming distressed, Mr Justice Hayden was told.