Theresa May has acknowledged that the initial level of support "was not good enough"
Theresa May has admitted that the support given to families in the hours following the Grenfell Tower fire "was not good enough".
It comes as the British government confirmed the UK will observe a minute's silence at 11am on Monday.
Police now say 58 people who were in Grenfell Tower on the night of the blaze are missing and presumed dead, including 30 confirmed fatalities. That number may rise.
On Saturday afternoon, victims of the tower block fire - along with volunteers and community leaders - met with the Prime Minister at Downing Street for two-and-a-half hours.
The Bishop of Kensington, Dr Graham Tomlin, attended the talks and said: "There was passion, there was anger, but there was good, hard, reasoned argument used by the residents."
He believes residents left the meeting feeling "reassured that they were listened to", but added: "Time will tell as to whether it makes a difference. We wait to see what action will come from it."
Speaking after the meeting, Mrs May acknowledged the "huge frustrations" residents have experienced in trying to get answers from the council - and she vowed the public inquiry into the deadly blaze will be "open and transparent".
Mrs May said the name of the judge who will head the inquiry will be announced in the next few days.
She also confirmed that she will be responsible for implementing the inquiry's findings.
Mrs May said: "I can confirm that a £5m emergency fund that I announced yesterday is now being distributed on the ground so people can buy clothes, food and other essentials. If more funding is required, it will be provided.
"Residents rightly want to know when new housing will be provided. I have fixed a deadline of three weeks for everybody affected to be found a home nearby."
Mrs May added that she has requested "daily progress reports" to ensure victims are re-homed quickly.
London mayor Sadiq Khan has called for re-housing efforts to be "speeded up" and pressed Mrs May to make sure "the recovery operation receives all resources and expertise they need".
He also wrote in The Observer about the future of such tower blocks, saying: "Nowadays we would not dream of building towers to the standards of the 1970s but their inhabitants still have to live with that legacy.
"It may well be the defining outcome of this tragedy that the worst mistakes of the 1960s and 1970s are systematically torn down."
Residents are understood to be meeting with lawyers on Sunday evening.
Meanwhile, chief fire officer Ronnie King says urgent requests for meetings with ministers and action to tighten rules were stonewalled.
Mr King, who is secretary of the UK's all-party parliamentary group on fire safety, also said ministers failed to insist that sprinkler systems be mandatory in new schools in England, despite clear recommendations in reports commissioned by the government itself.
Mr King told The Observer: "They seem to need a disaster to change regulations, rather than evidence and experience. It was the same with the King's Cross fire and the Bradford City football club fire.
"They always seem to need a significant loss of life before things are changed."