The European Court of Human Rights rejected an appeal from Charlie's parents, who were also denied their request to take their son home from the hospital to die.
Another success for the parents is that the meeting will be attended by Dr Michio Hirano, professor of neurology at Columbia University Medical Centre in NY. The hospital's attorney, Katie Gollop, wrote that while the institution understands that Charlie's parents believe they alone have the right to decide the treatment for their son, the hospital is bound by different principles.
"This case is about Charlie's rights and what the evidence tells us that they require", he said.
Charlie's parents Chris Gard and Connie Yates want the judge to rule the 11-month-old, who suffers from a rare genetic condition and has brain damage, should be allowed to undergo a therapy trial overseen by Dr Hirano in NY.
"One would have expected that Great Ormond Street Hospital would have said something to the effect [of] 'we welcome this new cutting-edge technology and we'll do everything to come alongside the parents to help them, '" Mahoney said.
"A world where only parents speak and decide for children and where children have no separate identity or rights and no court to hear and protect them is far from the world in which GOSH treats its child patients", the hospital said.
What Charlie's parents are now hoping is that the evidence given by Dr Hirano, in discussion with the other experts, will be enough to persuade the judge that it is now in Charlie's best interests to have the therapy being offered.
"We believe, in common with Charlie's parents, it is right to explore this evidence", they continued.
The parents of the terminally-ill British baby Charlie Gard have returned to London's High Court to continue a hearing over whether they are allowed to take their son to the USA for medical treatment.
Upcoming Nokia's smartphones processors revealed in leaks
People who have been following the saga of the Nokia 8 and Nokia 9 are probably itching to see something concrete at this point. HMD GlOBAL'S MOBILE WORLD CONGRESS (MWC) press conference has been and gone, and there was no sign of the Nokia 9 .
Charlie Gard's parents are challenging the view of Britain's most famous children's hospital, arguing that treatment overseas is in the best interest of the 11-month-old suffering from a rare genetic condition. Charlie's mother, Connie Yates, fought to attend and was given permission - even though it would not normally be allowed.
The couple returned after a break.
Francis said: "If I'm being told the measurements being taken by a world famous hospital are wrong I have to have more evidence than you telling me". The rights of the child take primacy, with the courts weighing issues such as whether a child is suffering and how much benefit a proposed treatment might produce.
Dr Hirano is due to arrive at the hospital on Monday and discuss Charlie's condition with doctors treating the boy and with independent specialists.
In a reflection of the tension surrounding the case, Chris Gard and Connie Yates stormed out mid-hearing when they disagreed with remarks by the judge.
"We said he's not suffering and not in pain", she yelled. "If he was we wouldn't be up here fighting for that". Grant Armstrong, representing Charlie's parents, said Yates had recorded a measurement of 42.4 centimeters.
Great Ormond Street Hospital says experimental treatment in America won't help and may cause the child to suffer. She said it has been "absolute living hell" to wait and wonder when the hospital might end his life support.
"GOSH seem to want to exclude the parents at every stage", he added.
- Kovind symbolises a new and aspiring India: BJD chief Naveen Patnaik
- The Walking Dead Season 8
- Celtic draw Dundalk or Rosenborg in Champions League qualification
- Warren on Kid Rock: 'We All Thought Trump Was Joking'
- In Mass Effect: Andromeda is free to play up to 10 hours
- Cheniere Energy Partners LP (CQP) Downgraded to Equal Weight at Morgan Stanley
- Diego Costa and Nemanja Matic left out of Chelsea tour squad
- Allen on Thorpe Award Watch List
- Judge orders relaxation of Trump travel ban
- The Walking Dead Halts Production Due to On-Set Accident