Siptu said tonight that it had accepted an invitation for talks with Reilly Bookbinders management at the Labour Relations Commission (LRC) on Monday.
This comes as 14 employees of the Wicklow company ended their 10th day of a sit-in in protest at the firm's refusal to pay them statutory redundancy.
Ten women and four men have been occupying Reilly Bookbinders in Wicklow town since July 18th after learning the company was insolvent and did not intend to offer its staff a redundancy package, Siptu spokesman Shane McKean said.
Mr McKean of the Irish Print Group division of Siptu has called for the appointment of a liquidator in a bid to obtain redundancy payments for the Reilly Bookbinders employees.
The bookbinding company has been a stalwart of Wicklow enterprise for the last 30 years and was taken over by Dunne and Wilson (Ireland) Ltd over four years ago.
However, a new company, Dunne and Wilson Group Ltd, has now taken over the company's client base with the intention of moving its operations to the Czech Republic and is not liable for debts incurred by Dunne and Wilson (Ireland) Ltd, including severance pay for staff, Mr McKean explained.
Most of the employees have worked for the company for between 15 and 20 years, while some staff have accumulated between 25 and 28 years of service, he added.
Tonight Siptu said: "At the LRC we will be looking for a liquidator to be appointed in order to save some of the jobs at the firm.
"Failing that, we will begin negotiating a redundancy package through the LRC."
Local Labour TD Liz McManus, who expects to visit the factory on Monday, also backed calls for a liquidator.
She said: "This would offer the opportunity for the continuation of employment of these highly skilled workers. The idea that an employer can walk away in such an irresponsible fashion is insupportable.
Customers of Reilly Bookbinders include the Department of the Taoiseach, the Department of Agriculture, the Courts Service, University College Dublin, Trinity College Dublin, University College Cork, University College Galway, Queen's University, several local authorities and the Labour Court.