Ryanair management has until noon tomorrow to recognise - in writing - the IMPACT/IALPA union for collective bargaining purposes.
The pilots' union has expressed disappointment that Ryanair management did not provide this assurance at last night's meeting.
In a statement after the talks, the union warned that a strike could still go ahead "in the absence of a timely agreement".
IMPACT has given the airline a set of proposals, and Ryanair has agreed to respond in writing by tomorrow.
The airline initially announced its decision to recognise unions - a major break from its long-standing policy - in a bid to avert a work stoppage that had been planned for today.
Bernard Harbor of IMPACT said Ryanair's next move will demonstrate whether it is serious.
He observed: "The ball now is in the company's court. They've got our proposals - they need to get back to us very quickly.
"If they're serious about changing culture in the company, then I think they will do that."
Ryanair also confirmed yesterday that it will recognise cabin crew unions, saying it plans to meet with them in the new year.