The investigations at Grenfell Tower have led police to believe the "number of people missing, but as yet unaccounted for" has risen from 58, the Metropolitan Police said.
Women comfort each other near the Grenfell apartment tower block in North Kensington.
Trade Minister Greg Hands said the government is carrying out an "urgent inspection" of the roughly 2,500 similar tower blocks across Britain to assess their safety.
Cladding used on Grenfell Tower blamed for spreading the blaze is banned in Britain, Philip Hammond has said.
Grenfell Tower is a public housing project owned by the local government council and managed by a nonprofit known as the Kensington and Chelsea Tenants Management Organization.
"We don't want violence, we just want answers", one young woman outside the town hall told Al Jazeera, expressing anger and incredulity that so many had lost their lives in a building that had been recently renovated at a cost of more than $10 million.
They said: "We naturally welcome funds for those in need, though this does show once more the tendency to sideline residents' views".
In a statement issued earlier this week, Harley Facades Ltd said it was not aware at this time of any link between the Grenfell Tower fire and the exterior cladding fitted to it.
The group previous year completed a 10 million pound ($12.8 million) renovation that included new outside insulation panels, double-paned windows and a communal heating system.
Omar, 25, survived, but the brothers were separated as firefighters tried to rescue them from the burning building early Wednesday.
London Mayor Sadiq Khan demanded that the government publish a list of other tower blocks checked by investigators.
Around 70 people are missing, according to Britain's Press Association, and identification of the victims is proving very hard. The entire community has been affected by the fire and are looking to the country to assist in their hour of need.
The UK government has promised that all those left homeless by the disaster will be rehoused in the local area.More news: US Congress baseball game brings unity after shooting of Republican Steve Scalise
David Lammy said Sunday he is anxious that documents will be quietly deleted and disposed of as police begin a search for evidence.
Help will be given to residents who do not have bank accounts.
Police have said criminal prosecutors will be pursued if there is evidence of wrongdoing.
One London member of Parliament has called for corporate manslaughter charges after learning flammable material was used to clad the building during the recent renovation.
The firm said the cladding panels, which are not manufactured by Harley Facades, are a commonly used product in the refurbishment industry.
Mr Corbyn told ITV's Peston on Sunday: "Occupy it, compulsory purchase it, requisition it - there's a lot of things you can do".
"Hearing that people are still sleeping on the floor, rather than at least spending the first few days with host families is heartbreaking and outrageous".
Kensington and Chelsea Town Hall became another flashpoint on Friday with protesters storming the building, accusing authorities of ignoring them and of forcing low-income families to live in sub-standard housing. The Home Office says it will make arrangements for the family of Mohammad Alhajali to "travel to the U.K.in these terribly sad circumstances".
Housing Minister Eoghan Murphy has met with Dublin's Chief Fire Officer to discuss fire-safety in light of the Grenfell Tower tragedy in London.
"He came to the United Kingdom because he had ambitions and aims for his life and for his family".
Authorities in London said Saturday that 58 people missing are presumed dead from this week's fire disaster at a high-rise tower.
A second victim named Friday was Khadija Saye, a 24-year-old photographer who had exhibited at the Venice Biennale.