Cundy said emergency workers have now reached the top of the building.
On Friday, anger over the response to the disaster led to a protest at the town hall in the Royal Borough of Kensington and Chelsea.
Labour Party lawmaker David Lammy said that the government and the police should immediately seize all documents relating to the building's renovation to prevent the destruction of evidence that could show criminal wrongdoing.
NHS England said 18 patients remain in hospital after the fire, including nine who are in critical care.
Each family whose home was destroyed in the Grenfell Tower fire will receive at least £5,500 from the Government, it has been announced.
Some desperate residents pleaded to speak to the queen and her grandson about their plight and the fate of missing children as they left the site, with William promising he would return.
He told the Press Association: "I'm positive because I think it was a real chance for local residents, people affected by this tragedy, to voice their concerns directly to the Prime Minister so that she could hear them". British officials have ordered a review of other buildings that have had similar renovations.
Earlier, the police launched a criminal inquiry into the Grenfell Tower fire incident after it emerged that cladding, used on Grenfell Tower is banned in the United States, and that it would have cost just 5,000 pounds extra for the contractors to apply a fire-resistant version of panelling to the building, according to a report by the Independent.
Pressure continued to mount with the leader of the Opposition Jeremy Corbyn preparing to attack the ministers with all guns blazing.
Data sources: Department for Communities and Local Government, the Office for National Statistics, and Her Majesty's Revenue & Customs.
Locals also yelled questions at mayor Sadiq Khan when he walked through the neighbourhood on Friday. "What are you going to do about it?" a young boy asked Khan, as the mayor tried to stop tensions rising further. The speed with which the fire spread shocked experts and its heavy black smoke forced many in the tower's 120 apartments to stay inside and wait for help.
One of the victims was named as Mohammed Alhajali, a 23-year-old Syrian refugee, who came to Britain in 2014 with his brother. They say their complaints were ignored.
Smoke was still wafting out of the blackened shell of the Grenfell Tower on Thursday where specialist firefighters and dog search teams faced hazardous conditions as they scoured the wreck, with external cladding still falling from the building.
"There is potential for the fire to propagate throughout the system if adequate fire barriers are not installed. the installation of fire barriers at each floor level above the first floor level (i.e. starting with the second storey) should be considered", the BRE said in a publication entitled "Fire performance of external thermal insulation for walls of multi-storey buildings".
The 8.7 million pound ($11.08 million) refurbishment was completed previous year.
Scotland Yard has launched a criminal inquiry into the fire as it has emerged that the type of cladding panels used on the building have been widely prohibited on tall structures in the US since 2012 because of its flammability.
A £25,000 donation has also been made by Citigroup to the Evening Standard Dispossessed Fund, according to a spokeswoman.
The group said: "In our meeting at Downing Street, we explained to the Prime Minister the anger of all residents towards the management of the estate over a long period of time, paving the way to this tragedy".
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