Ryanair has taken a "great step change" with its decision to recognize pilots' unions, but is not prepared to go further and also recognize flight assistants' unions, a top executive said in a Saturday interview.
Ryanair pilots have called off a planned strike action due to take place on Wednesday.
As of Sunday morning, there has been no response from the unions.
They say in the statement that they have agreed to to meet with the airline's management on Tuesday.
An upcoming Ryanair pilot strike has been suspended after the airline agreed to talks - much to the relief of those flying overseas for Christmas.
He said there were serious concerns that Ryanair management could renege on their commitments.
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"The union asked management to release its Ryanair pilot representatives to prepare for and attend the meeting", the statement read. "If the best way to achieve this is to talk to our pilots through a recognized union process, then we are prepared to do so, and we have written today to these unions inviting them to talks to recognize them and calling on them to cancel the threatened industrial action planned for Christmas week".
The Dublin-based airline announced on Friday that it would recognise the unions "as long as they establish committees of Ryanair pilots... as Ryanair will not engage with pilots who fly for competitor airlines".
O'Leary noted that the move would mark a significant change for the airline.
Niall Shanahan, a spokesman for Impact, a union to which IALPA is affiliated, said: "We indicated to Ryanair that we were happy to meet them on Wednesday, but we would not be in a position to consider suspending the scheduled industrial action until we met them".
The carrier admitted it had "messed up" the planning of its pilots' holidays.