Prime Minister Theresa May will seek to reassure Caribbean leaders later that the Windrush generation will not be deported over paperwork issues.
The government has apologised after it emerged that some people who arrived from the Commonwealth decades ago as children were now being incorrectly identified as illegal immigrants.
The home secretary has announced a new taskforce to help those affected.
Mrs May will talk to the leaders at a Commonwealth meeting in London later.
On Monday the prime minister reversed her decision not to meet leaders to discuss the Windrush issue, which was raised by MPs from across the House of Commons in an urgent question session.
Labour’s David Lammy said that it was a “day of national shame”.
The Tottenham MP said it was “inhumane and cruel” that it had taken the government so long to act on the cases of those who arrived legally as children on their parents’ passports but have never had their own passport.
Cases have emerged – such as these in the Guardian – of people who have lost their jobs, rights to health and benefits and faced deportation despite being able to show they have paid tax and National Insurance for decades.
Home Secretary Amber Rudd accepted it was “appalling” that some of the Windrush generation faced deportation and promised they would be helped to attain the required documents for free. She added that she was concerned her department “sometimes loses sight” of individuals.
Thousands of people arrived in the UK as children in the first wave of Commonwealth immigration 70 years ago.
They are known as the Windrush generation – a reference to the ship, the Empire Windrush, that brought workers from the West Indies to Britain in 1948.
Under the 1971 Immigration Act, all Commonwealth citizens already living in the UK were given indefinite leave to remain.
However, the Home Office did not keep a record of those granted leave to remain or issue any paperwork confirming it, meaning it is difficult for the individuals to now prove they are in the UK legally.
Changes to immigration law in 2012, which requires people to have documentation to work, rent a property or access benefits, including healthcare, has highlighted the issue and left people fearful about their status.
Sonia Williams, who came to the UK from Barbados in 1975, aged 13, said she has had her driving licence withdrawn and lost her job when she was told she did not have indefinite leave to remain.
“Sometimes I just want to give up,” she told BBC Newsnight, saying that she felt “stressed” and “numb”.
“I came here as a minor to join my mum, dad, my sister and my brother,” she said.
“My mum’s got citizenship, my dad had right to remain. So I just presumed I had all that.”
The Home Office said it would get in touch with Ms Williams.
Shadow home secretary Diane Abbott said the government should consider compensation for anyone who had been wrongly deported.
A Home Office spokeswoman said that any people who believed they or a family member had been wrongly deported should get in contact so their case could be reviewed.
The Migration Observatory at Oxford University estimates there are 500,000 people resident in the UK who were born in a Commonwealth country and arrived before 1971.
People born in Jamaica and other Caribbean countries are thought to be more affected than those from other Commonwealth nations, as they were more likely to arrive on their parents’ passports without their own ID documents.
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