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Illegal immigrants who escaped from the Grenfell Tower inferno should get a “full amnesty”, Labour's Diane Abbott has said.

The Shadow Home Secretary said the Government's offer to let those directly affected by the fire stay in the UK for 12 months regardless of their immigration status did not go far enough, leaving survivors and their relatives "frightened" of seeking help.

Immigration Minister Brandon Lewis told MPs on Wednesday that the Government would not carry out any immigration checks on witnesses coming forward to provide information about possible victims.

In a written statement to Parliament he said the Government's priority is "to ensure that victims of this tragedy get the access they need to vital services, irrespective of immigration status".

Mr Lewis said the period of leave will help them to "start to rebuild their lives whilst considering their future options, as well as to assist the police and other authorities with their inquiries about the fire".

The Home Office had already said it would not conduct immigration checks on survivors and those coming forward with information.

But Ms Abbott said the "partial measure" does not go far enough and urged the Government to give survivors or their family members indefinite leave to remain.

In a letter to Home Secretary Amber Rudd, she said: "Without a full immigration amnesty there will be survivors and relatives of survivors who are frightened to approach the authorities.

"There will be people who have died whom we will never know about, and too many people who need help whom will not receive it."

She added: "What assurance does it give a survivor to know that having volunteered their details in just 12 months they could face deportation?"

The move was announced as the Government said it was sending in a specialist taskforce to help run the beleaguered Kensington and Chelsea council.

The independent group will assist with the long-term recovery of the area after the council came under fierce criticism over its response to the disaster.

Mayor of London Sadiq Khan warned a Government taskforce to help Kensington and Chelsea Borough Council risked “making the situation worse”.

He said appointing external commissions, after consultation with local residents, to take on the full running of the council until next year’s elections would have been a more effective approach.

On Wednesday police said they had recovered the "last of the visible human remains" from the tower where teams have been meticulously sifting through tonnes of debris.

Metropolitan Police Commander Stuart Cundy said "87 recoveries" had been made in the three weeks since fire ripped through the high-rise block, but stressed "the catastrophic damage" inside meant "that is not 87 people".

He said 21 people had now been formally identified by the coroner and their families informed. A total of 80 people are believed to be either dead or missing.