In a written response, a council spokesman said: "We plan to house residents of Grenfell Tower as locally as we can". 24 people remain in hospital, with 12 of those people in critical condition. Several dozen police, including mounted officers, were in attendance.
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.
He said he was hopeful the meeting, which lasted almost two hours and was attended by victims, residents, community leaders and volunteers, was the starting point for a process of lasting change.
"Otherwise they will point the finger at you and me".
Local residents say there had been repeated warnings about the safety of the building, which recently underwent an £8.7 million ($11.1 million) exterior refurbishment, which included new external cladding and windows.
He said a police investigation by specialist detectives would "establish the facts to provide, as best we possible, answers for those so deeply and tragically affected by the awful fire at Grenfell Tower".
She visited the site of the fire on Latimer Road on Thursday, speaking to first responders.
Asked repeatedly whether she had misread the public mood, Mrs May did not answer directly but said the focus was on providing support to the victims.
Theresa May held a meeting in Downing Street the next day with residents she had spoken to at the church.
Members of the emergency services work inside the charred remains of the Grenfell Tower block.
London has a chronic housing shortage even in the best of times, and those left homeless by the fire - already angry over what they see as government inequity and incompetence - fear being forced out of the British capital.
- How did the fire spread so fast?