The parents of 22-month-old Alfie Evans, who has been at the centre of a life support treatment battle, have failed to persuade Supreme Court justices to analyse the case.
They've been battling to stop doctors at Liverpool's Alder Hey Hospital switching off his life support.
The Court of Appeal recently upheld the judgement from the High Court that continued active treatment is not in Alfie’s best interest.
The hospital has agreed that this is a very difficult time for Alfie’s family and will continue to work with them to agree the most appropriate palliative care plan for Alfie.
Judges have heard that Alfie is in a "semi-vegetative state" and has a degenerative neurological condition that doctors had not definitively diagnosed.