A lawyer for the couple told the High Court that London's Great Ormond Street Hospital had put "obstacles" in the way of the 11-month-old child, widely known as Baby Charlie, being taken home, Sky News and other media reported.
Barrister Grant Armstrong, who represents the couple, suggested to Mr Justice Francis that hospital bosses were placing obstacles in Charlie's parents' way.
He can not survive without the support of a respirator, and his United Kingdom doctors have said that experimental treatments would only increase his suffering.
British courts and the European Court of Human Rights have all sided with Great Ormand Street, one of the world's leading children's hospital, in its bid to remove life support and let Charlie die naturally.
The baby has a rare genetic condition and will die once his life support is removed. After Tuesday's hearing, the High Court would decide whether Charlie would be sent home with his parents. He has remained at Great Ormond Street Hospital in London ever since.
Charlie - who suffers from a rare genetic condition causing progressive muscle weakness and brain damage - would turn a year old on August 4, but his parents believe he "unfortunately won't make his first birthday".
The fight to save Charlie Gard, the British infant at the center of a worldwide debate about parental rights and medical treatment, is coming to a close.
Mr Armstrong said the experimental treatment no longer offers any chance of improving Charlie's condition.
Yates added: "We promised Charlie every day we would take him home".
"Emotions are as high in this case as they could be in any", said the presiding judge, Nicholas Francis.
A previously scheduled hearing on Monday was said to review "fresh evidence" from the Yates family in a series of long court battles and public attention over the court case.
Chris Gard and Connie Yates on Monday gave up their legal battle to prolong his life, saying Charlie's condition had deteriorated too far for any possible recovery.
US - based professional life activists traveled to London to help Charlie's folks, and the case turned into a flashpoint for contradicting sees on human services subsidizing, medicinal intercession, the part of the state and the privileges of the youngster.
The emir of Qatar on Friday said he was prepared to engage in negotiations as long as his country's sovereignty was not violated. The Turkish president said he did not discuss the Turkish base in Qatar with Saudi Arabia or Kuwait in his meetings.
President Donald Trump's son-in-law and senior adviser is revising the paperwork that discloses his personal finances. The head of the Office of Government Ethics recently resigned after tangling with the Trump administration.
On Saturday, he filed an anticipatory bail plea before the court but the court set aside his petition for hearing on Monday. Her husband also alleged that Vincent used to call her repeatedly over the phone and harass her.
Maybe Irving could have been more insistent earlier, but he at least gave a full offseason of notice that he was ready to move on. The Knicks want to send Carmelo Anthony and future first-round picks to Cleveland for Irving, according to ESPN's Ian Begley .
When the airbag is deployed, it can explode and launch metal shards which have penetrated people's eyes, face, neck, and chest. Toyota said the replacements would be safe for several years because faults only emerged as the airbags aged.
Dileep - like any accused under Indian law - must be presumed innocent unless the court returns a verdict of "guilty". With this, not only is Dileep looking at his two-week jail stay being prolonged, but also the loss of his stardom.
The eastern command of the navy deployed its vessels and crew to rope the elephant taking it to the safety of the shore. This incident was not the first rescue operation by Sri Lankan Navy to save drowning animals.
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Antonio Conte hints at fourth Chelsea summer signing
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