Poundworld's administrators at Deloitte said they were still in talks with "interested parties" about a "potential sale for part, or parts, of the remaining business" including its headquarters and distribution centre in Normanton, West Yorkshire.
Last week the company announced it was closing 25 stores and today a further 80, including Dagenham, has been added to the list. Poundworld, which was formerly owned by private equity firm TPG Capital, had been operating with 335 stores and around 5,100 staff before it collapsed in June.
13 jobs are said to be lost alongside the second store closure.
'We would like to thank all the employees for their continued support and commitment'.
Deloitte last week turned down a bid for Poundworld from its founder, Chris Edwards, who was looking to save a raft of stores and safeguard around 3,000 jobs.
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It became the latest casualty to online shopping and falling consumer confidence, joining the likes of Toys R Us and Maplin.
Hopes of salvaging the beleauguered retailer have faded in recent days.
The total of stores to close since the discount retailer went into administration now totals over 100, resulting in the redundancies of more than 1,250 members of staff.
In 2015 Mr Edwards sold the chain to USA private equity firm, TPG, which also controls restaurant chain, Prezzo.