Firefighters searching the smoldering ruin in west London have recovered six bodies from the 24-story Grenfell Tower, while 11 others have been located but can not yet be removed from the gutted structure.
But the Conservative leader still struggled to overcome accusations that she lacked compassion because she had failed to meet with victims on her first visit to the devastated site.
A man in the crowd commented: "What did she bring, what useful things did she bring?"
She has told Councils to complete urgent safety checks on similar tower blocks.
Police broke up a scuffle between members of the crowd as the Mrs May's vehicle drove off.
In a television interview Friday, she sidestepped questions over whether she had misread the public mood.
"In recent months, the country has witnessed a succession of bad tragedies", she said.
Shortly after Saturday's meeting, Downing Street released a strongly-worded statement in which the Prime Minister said support in the immediate aftermath of the fire "was not good enough". The Telegraph collected some of the known names of the dead with pictures, mostly from the accounts of people searching for lost friends and family members.
The government has committed 5 million pounds for clothes, food and emergency supplies for the victims.
Van hits pedestrians in London
The Metropolitan Police called it "a major incident" and said that a number of casualties are being treated at the scene. Vanzella said she went to the window and saw "loads of people gathering" in a corner across the road from her window.
Another large group of protesters stormed the town hall of Kensington and Chelsea, the borough in which Grenfell Tower is located.
Organisers appealed for calm as hundreds of people - some of them holding posters of the missing - surrounded the building demanding answers from the council over the deaths.
Several people appeared to clash with security guards inside, before leaving the building and gathering on the steps outside.
Later, dozens of people appeared to push and shove each other outside the town hall.
May was accosted by furious protesters earlier today as she attended the nearby Kensington Town Hall.
Speaking to the growing crowd, Mr Mansour called on senior council leaders to "come out" of the building to respond to a list of demands submitted by the Radical Housing Network.
"Government is making money available, we are ensuring we are going to get to the bottom of what happened, we will ensure that people are rehoused, but we need to make sure that actually happens".
"Wallowing in the wash of a general election that stripped our prime minister of her authority on the very eve of European Union negotiations, neither common sense nor the evidence suggest she can re-establish public confidence", Matthew Parris wrote.