The Christian homelessness charity Housing Justice says it wants to help people who may have 'fallen through the cracks in the system".
"It's people who've perhaps made an claim for asylum and it's been refused, although they often can have the case accepted on review; many cases are overturned when they're reviewed," said housing project director Alastair Murray to Premier.
The charity says many migrants and refugees find themselves, through no fault of their own, with no support or accommodation and no help to return to their home country.
Local authorities and most homeless charities don't provide accommodation because they have no entitlements to benefits, or "no recourse to public funds", according to the charity.
It says many have been in the UK a long while, and they come from a wide range of countries, including especially Iran and Eritrea.
It was volunteers from Churches, faith and community groups are responding, by offering temporary hospitality to people in their homes, while their asylum or immigration case is reviewed.
Listen to Alastair Murray from Housing Justice speaking to Premier's Des Busteed:
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