Talks between Aer Lingus management and representatives of its pilots that resumed today at Dublin airport were adjourned after two hours.
The talks, aimed at resolving the row over the airline's plans for a new base in Belfast, were adjourned last week. It is understood the talks will resume on Wednesday.
The talks were the first time that senior Aer Lingus management had met the union for face-to-face talks on the Belfast issue since the dispute broke out last month.
During talks at the Labour Relations Commission (LRC) last month, both parties had been in separate rooms.
The talks at the LRC averted plans by nearly 500 pilots at Aer Lingus for a 48-hour strike over the plans by the airline to employ staff in Belfast on what the union considered to be inferior conditions to those in the Republic.
The Impact union said industrial action by pilots at Aer Lingus would only become an issue again if the talks broke down.