Previously, the Metropolitan Police had confirmed 30 people had been killed in the inferno; the announcement Saturday almost doubles that number.
"But, frankly, the support on the ground for families who needed help or basic information in the initial hours after this appalling disaster was not good enough".
Presenter Emily Maitlis grilled the Prime Minister over what she had done for the victims of the devastating inferno at a west London tower block on Friday.
Speaking to Sky News on Sunday, he said: "There are contractors who dealt with the tower, that had the tower on the websites proudly saying that they had worked on the tower, and over the last 24 hours have taken off their website the fact that they worked on the fire".
On Saturday more than 1,000 people gathered near May's Downing Street office to protest against her plan to form a government with the support of a socially conservative Northern Irish party.
Dozens of police officers held back booing crowds and broke up scuffles as her auto drove off from a local church, where she had met survivors, residents and volunteers.
May was rushed away from a meeting with residents on Friday under heavy police guard as protesters shouted "Shame on you" and hundreds stormed a local town hall calling for justice. Kids and pensioners - practically everyone - using the word "coward".
"Sadly we do not expect there to be any survivors", Cundy said. "It might be that some of those are safe and well but for whatever reason have not reached (out) to let us know".
His family said in a statement that Alhajali "came to the United Kingdom because he had ambitions and aims for his life and for his family".
Police have said recovery process could take weeks, and warned some of the bodies may be too burned to be identified.
Commander Cundy warned that identifying bodies may be a very lengthy process because of the nearly "indescribable" conditions within the scorched remains of Grenfell Tower. "And it is incredibly hard to describe the devastation in some parts of that building", Cundy said. "My heart goes out to those affected", Cundy said. As an absolute priority, what we are all doing is, as quickly and with as much dignity as we can, recovering those that are still inside. British health authorities say that 19 fire survivors are still being treated at London hospitals, and 10 of them remain in critical condition.
The Grenfell Action Group, the tenants' organization, had expressed concerns for years about the testing and maintenance of firefighting equipment and blocked emergency access to the site.
Opponents said May's handling of the fire has thrust her position further into doubt by showing a failure to feel the public mood and act decisively.
In a blog post written a year ago, the Grenfell Action Group warned of "dangerous living conditions" in the tower. REUTERS/Peter Nicholls Demonstrators clash with police officers during a march in Westminster, following the fire that destroyed The Grenfell Tower block, in north Kensington, West London, Britain June 16, 2017.
Queen Elizabeth II and her grandson Prince William visited a community centre Friday where some of the survivors are being housed, and where volunteers have been inundated with donations of clothes and food. They paid their respects before the start of the annual Trooping the Color procession that marks the observance of the queen's birthday.
"We are not stupid, we aware people are dead".