Charlie has reportedly been offered treatment free of charge at an American hospital. "We should never act with the deliberate intention to end a human life, including the removal of nutrition and hydration so that death might be achieved".
The Daily Mail reports that life support was due to be switched off on Friday, July 7, but Charlie's mother told the British newspaper last week that she and her husband asked the hospital for more time with their son.
President Trump on Monday tweeted his willingness to lend a hand - and in doing so exposed the debate over who should make life-and-death decisions for Charlie to a massive audience.
Supporters started a #Trump4Charlie hashtag campaign, convincing themselves and each other that Trump will save the baby's life.
What can President Trump or the U.S.do to help?
The offer of assistance comes days after Pope Francis called for the boy's parents to be able to "accompany and treat their child until the end".
Pope Francis also used his Twitter account to send a clear pro-life message to the world.
The hospital originally planned to take Charlie off life support on Friday, but granted the couple extra time with their son. The illness causes progressive muscle weakness and brain damage. They say he cannot see, hear, cry or swallow and is only breathing with the help of a ventilator.
His parents raised more than the £1.2 million they needed for Charlie to undergo experimental treatment in the United States, but a series of judges agreed with specialist doctors' assessments that Charlie had no chance of survival, and should be allowed to die with dignity rather than receive further treatment that could cause him "significant harm".
The family have received donations totaling more than £1.3million.
A series of British court rulings have found that continuing Charlie's treatment could cause "significant harm".
On one hand, the parents argued they were being denied their right to exhaust all options to treat Charlie, including an experimental treatment called nucleoside. Previously, they have said that they would like their son to pass away at home, not in a hospital.
His doctors at Great Ormond Street Hospital had fought the bid, saying that the treatment is experimental and will not help him.
Charlie has a rare form of mitochondrial disease, and his parents have been fighting in court.
Who is Charlie Gard and why is he sick?
Terri Schiavo's brother Bobby Schindler has weighed in on the situation.