SIPTU is holding meetings today in a bid to break the industrial relations deadlock at SR Technics.
The future of the company has been in doubt after a small group of workers voted against changes to their work practices.
The north Dublin airplane maintenance firm says it cannot sign a crucial contract with Aer Lingus without agreement on the changes.
The SIPTU committee representing the aircraft handlers at the centre of the dispute met last night and agreed there was a way forward through existing agreements in place at SR Technics.
The union will this morning meet the 21 workers concerned and are requesting talks with the company immediately afterwards.
SR Technics said on Friday that it was not going to be in a position to agree a maintenance contract with Aer Lingus unless all sectors at the company signed up to productivity changes.
That contract is crucial to the company's survival and the future of its workers.
SR Technics has already lost two other contracts it had with Aer Lingus. The deadline for a deal with the airline is tomorrow.