The UK Supreme Court will not allow the parents of Alfie Evans to take their sick child to a hospital in Italy.
Acknowledging it is a "desperately sad case", they say that while Alfie looks like a normal baby, the unanimous opinion of the doctors who have examined him and the scans of his brain is that nearly all of his brain has been destroyed.
Tom Evans, 21, and Kate James, 20, have been fighting a legal battle to move their 23-month-old son, who suffers from a degenerative neurological condition, to a the Italian capital for treatment.
But they said treatment should continue until Supreme Court justices had made a decision.
Three appeal court judges endorsed a plan drawn up by doctors earlier this week.
Christian Concern claims that last week, an air ambulance crew arranged by Alfie's parents was blocked by Alder Hey Hospital from taking Alfie for treatment overseas.
"It is my honest hope that everything necessary may be done in order to continue compassionately accompanying little Alfie Evans, and that the deep suffering of his parents may be heard", he said on Twitter. She was such a lovely woman and said they will do everything they can for Alfie as they would with any other. "Not Alder Hey, not the doctors here not any parents either".
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The young parents wanted to take Alfie to a hospital in Rome where he would continue to receive palliative care.
Media reports on Thursday indicated that Alfie's parents have asked the Supreme Court to reconsider the issue.
It is a piece of common law which probably dates back to Anglo-Saxon times.
"Having considered submissions from the parties "on paper", in the usual way, the Supreme Court of the United Kingdom has refused permission for the parents to appeal", said a spokesperson for the Supreme Court.
Referring to an offer from the Vatican's Bambino Gesu to care for Alfie Evans, the bishops said that in cases where "crucial decisions in conflicts of opinion have to be taken" it is up to the hospital to give British courts the medical reasons for an exception to be made.
They said: 'It is sad principally, of course, for Alfie's parents, for they love their little boy dearly and want to do all in their power to keep him alive. We are appealing today because we have got to act quickly.