Ms May, who has faced criticism of her response to the tragedy in which at least 30 people died, will meet victims, volunteers and community leaders, a Downing Street spokesman said.
"The prime minister is this morning chairing a cross-government meeting to ensure everything possible is being done to support those affected by the Grenfell tragedy," the spokesman said.
"Afterwards, she will meet a group of residents, victims, volunteers and community leaders in Number 10."
Police officers held back booing crowds and broke up scuffles as her vehicle drove off from a local church, where she had met survivors, residents and volunteers.
In a television interview Friday, she sidestepped questions over whether she had misread the public mood.