The group, made up of victims, residents, community leaders and volunteers, said they were grateful to Theresa May for listening to their concerns but demanded "real action and immediate results" moving forward.
Dozens of people attending a protest for the victims stormed the town hall in London's richest borough yesterday afternoon, accusing the authorities of ignoring their plight.
Condoling the incident earlier, Londor Mayor Sadiq Khan said, "The bad news, I'm afraid, is lots of people died in the fire".
Many in the United Kingdom are upset with Prime Minister Theresa May for her response - or lack thereof - to the Grenfell Tower fire.
Tory MP Sarah Wollaston said she was "beyond disgusted" by the revelation.
Rep. Scalise remains in critical condition after surgery
Although Scalise was able to talk on the ballfield, by the time he was transported by helicopter to the hospital, he was in shock. The bullet entered Scalise's left hip and tore through his pelvis, breaking bones, injuring organs and causing severe bleeding.
The London Evening Standard reported that hundreds of activists marched to the town hall and gathered outside the building on Friday chanting: "We want justice".
The cause of the fire is still unknown but "there is nothing to suggest the fire was started deliberately", London police said in a Friday statement.
A short walk away, however, are apartments and houses that cost millions of pounds and are home to a wealthy elite that residents of the Grenfell Tower had seen as a world apart.
The footage comes as it emerges survivors of the tragedy have been given just £10 a day to live off, despite more than £3 million in donations to relief funds.
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".
The mayor of London Sadiq Khan has said the Grenfell Tower disaster was a outcome of years of neglect by politicians.