The company has announced the closure of its Baglan furniture site near Port Talbot which has 54 disabled employees.
Its remaining site with 56 disabled workers recycling computers at Porth, Rhondda, is on the verge of being sold to its managers.
The Department of Works and Pensions (DWP) said it had "worked extensively" with potential buyers for Baglan but there were no viable bids.
Seven Remploy factories in Wales were closed by the UK government last year because they were deemed "unviable", putting 280 people out of work.
There are currently 13 Remploy factories left throughout the UK.
The closure of three of those - Baglan, Blackburn and Sheffield - was announced on Wednesday as the company said it had failed to find a buyer for its furniture business.
All workers are at risk of compulsory redundancy, although they will be invited to consultation meetings over the next 30 days.
The union Unite called the decision a "shameful act".
"The workforce has been kept in the dark and face a future of fear and insecurity as this cruel government consigns them to a life on the dole," said general secretary, Len McCluskey.
Read more here: http://www.bbc.co.uk/news/uk-wales-23869294