Doctors have been told to continue providing life-support treatment to baby Charlie Gard for another three weeks in order for judges in the European Court of Human Rights time to analyse his case.
The court had earlier ruled life support should continue until midnight on 19th June while it examined the case, that has now been extended.
Ten-month-old Charlie, who suffers from a rare genetic condition and is terminally ill, is at the centre of a high-profile legal battle.
His parents, Chris Gard and Connie Yates, want to take their son to the US for to undergo a therapy trial.
Specialists at Great Ormond Street Hospital for Children in London, where Charlie is being cared for, say life support treatment should now be switched off and argue the therapy proposed by a doctor in the US is experimental and will not help.
A High Court judge in April ruled against a trip to America and in favour of Great Ormond Street doctors.
A European Court of Human Rights spokeswoman said the case would get "priority".
"In light of the exceptional circumstances of this case, the court has already accorded it priority and will treat the application with the utmost urgency," she added.
"It is anticipated that as soon as the responsible chamber of the court is in a position to consider the application made on behalf of Charlie Gard and his parents an expedited timetable for the determination of this application will be established."