Residents had sent a list of demands to the council, including the immediate rehoming of all people displaced by the fire within the borough; the release of funds to take care of the welfare of those affected; and a complete list of the residents known to live in the tower block.
She added: "I have ordered that more staff be deployed across the area, wearing high visibility clothing, so they can easily be found, dispense advice and ensure the right support is provided".
In parliament, the government's fire and housing ministers said other tower blocks, which were also recently refurbished, would be assessed. Some shouted "coward" as she left by a side door. People chanted "We want justice" and "shame on you", as several of the demonstrators held a sit-in protest inside the town hall.
"Sadly at this time, there are 58 people who we have been told were in Grenfell Tower on the night that are missing and therefore sadly I have to assume that they are dead", he said.
There was a large police presence as Mrs May met a group of victims, residents, volunteers and community leaders at St Clement's Church close to the scene of the horrific blaze on Friday afternoon.
Protesters have entered Kensington Town Hall here, demanding answers from the local council over the Grenfell Tower residential building fire, media reported on Friday.
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Protesters upset with how the British government has so far handled the aftermath continued calls Friday for greater assistance.
Tory MP Sarah Wollaston said she was "beyond disgusted" by the revelation.
"This is an absolutely very bad fire that took place", May said.
"There is a feeling from the community that they've been treated badly because some of them are poor", Khan said after a visit to a church near the burnt-out social housing block to attend a service which remembered victims of Wednesday's tragedy.
The local Grenfell Action Group had claimed, before and during a major 10-million-pound refurbishment of Grenfell Tower a year ago, that the block constituted a fire risk and residents had warned that access to the site for emergency vehicles was "severely restricted".
London Fire chief Dany Cotton said that the intensity of the blaze was unlike anything she had ever seen, sentiments echoed by the prince.
"People raised these concerns, people were expressing issues regarding the safety and risky living conditions", says Lancaster West Residents Association chairwoman Olesea Matcovschi. 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.