London (CNN) The UK court presiding over the case of Charlie Gard will make its decision Wednesday on where and when the terminally-ill child will die.

In a surprise move, the family's lawyers and mother Connie Yates returned to the High Court on Tuesday after abandoning legal action the previous day over treatment for the 11-month old, who is currently on life support.

At stake is whether his ventilation tubes should be withdrawn in the hospital, in hospice, at home soon after transfer or at home after a period of days.

Charlie Gard's parents want to bring their son home from hospital to die. But the hospital argued Tuesday that there were no doctors able to oversee Charlie's death at home. The court has given the family until noon tomorrow to find a medical practitioner prepared to take up the case.

"I will make my final decision tomorrow unless there is something that comes up tomorrow," said Justice Francis, who is presiding over the case.

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