However, the company is refusing to engage with the Technical, Engineering and Electrical Union (TEEU).
Management at the plant sacked three union members over what they claim was the improper use of the company's IT system, including the spreadin
g of adult material.
However, the workers claim the row arose when members sent around an email about redundancy proposals.
Green Isle Foods has refused to use the Labour Relations Commission to engage with the union over the dispute.
They have also ignored a recommendation by the National Implementation Body to use a third-party mediator to settle the dispute.
Last Monday, September 28, Eamon Devoy, general secretary designate of the TEEU sent a letter to the HR director of Green Isle Foods inviting the company to an investigation into the dispute by the Labour Court.
Under the 1969 Industrial Relations Act, both parties involved in a dispute can together ask the Labour Court to investigate and make binding recommendations on issues involved in the dispute.
However, a spokesman for Green Isle Foods said that the company's position this week remains the same and it does not view the dispute as a matter for union involvement.
"It (the company] will continue to interact with employees locally and directly to resolve the issue. In the meantime, operations remain as normal," said the spokesman.
Some 35 TEEU members are now into their fifth week on strike at the plant. The Irish Congress of Trade Unions a fortnight ago granted an all-out picket on the plant.
Green Isle Foods has called the picket illegal.
It says that there are SIPTU workers in the plant who have not been balloted on industrial action, which makes the all-out action invalid.
SIPTU refuses to confirm or deny that members of the Green Isle plant belong to its union.
The Green Isle spokesman said there are members of SIPTU employed on the Green Isle Foods site in Naas, and added that "for anyone to suggest that there are no other unions in Green Isle, that is a blatant mistruth". Green Isle Foods does not recognise or formally deal with unions.
Local SIPTI official Adrian Kane said that SIPTU has no representative rights within the plant. "This is a vehemently anti-union firm," he said.
