Specialists have informed a decide that the little lady is affected by a uncommon and incurable neurological situation.
They are saying she ought to be disconnected from a ventilator and moved to a palliative care regime.
Her dad and mom disagree and say air flow ought to proceed.
Hospital bosses have requested Mr Justice Hayden to resolve what strikes are in her finest pursuits.
The decide on Tuesday started contemplating proof at a listening to within the Household Division of the Excessive Courtroom in London.
He dominated that nothing might be reported which might determine the lady – her dad and mom had stated they didn’t need her to be named in media studies.
Mr Justice Hayden heard how the lady had been born in Lebanon, after her dad and mom left Syria.
She had began to grow to be sick about 4 years in the past, after arriving in England.
In July, Mr Justice Hayden dominated that medical doctors might cease offering life assist therapy to a 12-year-old boy who suffered mind harm in an incident at residence in Southend, Essex, in April.
Archie Battersbee died earlier this month after his dad and mom failed in bids to overturn Mr Justice Hayden’s ruling.
Barrister Ian Brownhill, who’s main the lady’s dad and mom’ authorized group, informed Mr Justice Hayden that the lady’s case was factually completely different to Archie’s case.
The listening to is because of finish on Wednesday.