"It's an unimaginable position for anybody to be in", May told Parliament when asked about Charlie Gard, widely known as Baby Charlie, who suffers from a rare condition that causes progressive muscle weakness and brain damage.
The European Court of Human Rights (ECHR) authorized on 27 June the end of the baby's survival, following the British court which had previously allowed the end of the artificial ventilation of the child.
White House spokeswoman Helen Aguirre Ferre said that members of the Trump administration have spoken to Gard's family. "The president is just trying to be helpful if at all possible", she said, calling the situation "heartbreaking".
The US President said this week he would be "delighted" to help Charlie, who is being cared for in London, after a United Kingdom court ruled his life-support machine should be turned off.
Britain's foreign secretary has backed United Kingdom court decisions preventing the parents of a terminally ill child from taking him overseas for experimental treatment, despite an offer of help from a Vatican hospital.
On Tuesday, the parents lost a bid to take Charlie to the USA for trial therapy when the European Court of Human Rights sided with earlier rulings that continued treatment would cause "significant harm" and that life support should end. Last week, his parents lost a legal battle to take him to the USA for trial therapy.More news: JJ Redick, Sixers agree to expensive one-year deal
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After Pope Francis and President Donald Trump spoke out in support of Charlie, the Vatican's Bambino Gesu Children's Hospital asked whether the child could be transferred to Rome to receive care.
The Vatican's paediatric hospital has also offered to care for Charlie following an intervention from the Pope.
Earlier, Foreign Secretary Boris Johnson told his Italian counterpart that Charlie's future should be "led by expert medical opinion, supported by the courts".
The Vatican said that the Pope was following the case "with affection and sadness" and "expresses his closeness to his [Charlie's] parents".
Enoc said she was contacted by the child's mother whom she describes as "a very determined and decisive person and doesn't want to be stopped by anything". In this case, it's very hard to say if this is suffering by therapy or not.