The building's external cladding has come under intense scrutiny after the tragedy in which 58 people are presumed dead.
"Normally an inquest will only take place at the end of the criminal investigation, so the idea of an inquiry is important because that can, in some circumstances, happen much more quickly and I think speed is of the essence here". The long-term consequences need to be addressed now, they said.
One of her closest allies, Damian Green, defended May on Saturday, adding that a team would go to the area to answer questions from residents.
Hammond told a weekly BBC politics show that a criminal investigation will examine whether building regulations had been breached when the block was renovated.
Clement's Church near Grenfell Tower.
McIlroy misses cut after 'shooting himself in foot'
I guess I've just kind of always been that way. "I didn't think it was the putter, it was the guy on the end of it", he said. The Englishman has roared back to life with four straight birdies and is back to being one shot off the lead.
She said the Government would offer resources beyond the £5m already committed to helping those displaced by the fire if necessary, and announced a deadline of three weeks for families to be found another home "nearby" to the Kensington area of the fire.
Experts believe the exterior cladding, which contained insulation, helped spread the flames quickly up the outside of the public housing tower early Wednesday morning.
Later on Sunday, former United Kingdom chancellor Philip Hammond said the cladding material used on the building was banned on British high-rises.
A review of similar tower blocks could lead to a huge overhaul of a housing system that dates back to the 1960s and 1970s, when the country was in a rush to build new housing to standards that would never be used nowadays, Khan wrote.
Hands and Treasury chief Philip Hammond said in separate TV appearances that the cladding used on Grenfell seems to be prohibited by British regulations.
Hands cautioned Sunday that investigators still don't know exactly what cladding was used when the building renovation was completed previous year.
After Otto Warmbier's Release, Will US Ban Travel To North Korea?
Otto Warmbier has a severe brain injury and is in a state of " unresponsive wakefulness", his OH doctors said on Thursday. The doctors would not comment on Warmbier's prognosis or his chances of fully recovering, citing his parents' wishes.
A prominent British Labour Party lawmaker is calling for police and the government to seize all documents relating to the renovation of a London high-rise destroyed by a fire that killed dozens of its residents.
Lammy said that "the prime minister needs to act immediately to ensure that all evidence is protected so that everyone culpable for what happened at Grenfell Tower is held to account and feels the full force of the law".
He said all records - including emails, minutes of meetings, correspondence with contractors, safety assessments, specifications and reports - must be kept intact.
Of the 58, he said the number of confirmed fatalities in Wednesday's inferno remains at 30.
Heartbreaking tributes have been left near Grenfell Tower for fathers and grandfathers caught up in the tragedy.
Residents of the tower said Mrs May was far too slow to visit the stricken community, that the 24-storey building had been unsafe and that officials have failed to give enough information and support to those who have lost relatives and their homes. We are also with all those from faith networks and communities, who are working tirelessly to provide immediate support. More than 3 million pounds ($3.8 million) have been raised for the victims, and the British government has announced a 5 million-pound ($6.3 million) emergency fund.
UK government scrambles to limit fallout from London fire
His family said Alhajali "came to the United Kingdom because he had ambitions and aims for his life and for his family". Many residents are still unaccounted for, and police said some remains may never be identified.