Talks between Aer Lingus management and the cabin crew union IMPACT have adjourned for the evening but will resume tomorrow morning.
The talks have been continuing since 1.30pm.
IMPACT said that "not a lot" was achieved in today's talks..
IMPACT Assistant General Secretary Michael Landers said he suspected management were not serious about discussing applying the pilots' '5-3' roster to cabin crew as they had hedged it with a lot of conditions, which were unacceptable.
He said they wanted to resume talks in the morning to test the sincerity of management.
They were meeting in an attempt to resolve the dispute that grounded the airline's operations last Friday.
IMPACT has warned that if the dispute over rosters is not resolved, it will announce further industrial action that would be for more than a day.
Arriving for today's meeting, IMPACT Assistant General Secretary Michael Landers said yesterday's decision by management to withdraw staff travel privileges was not helpful.
The union is expected to demand the immediate reinstatement of those privileges.
Today's meeting between management and staff is their first since the strike, which is estimated to have cost the airline up to €10m.
Cabin crew staged a one-day strike in protest at their rosters, which they say are erratic, exhausting and make it difficult to plan family life.
Management sources said they are prepared to consider some changes to the cabin crew roster, but only if they do not cost the airline money.
One source put the cost of revising the rosters at around €5m a year, which could see unpalatable demands from the airline to offset that cost.
Measures could include less access to part-time work and more staff might have to take their annual leave during the winter.
The company has also threatened that applying the pilots' roster to cabin crew could see 300 jobs being moved to North America.
It has withdrawn discount flight privileges from cabin crew indefinitely with immediate effect.