The Irish Aviation Authority has said there will be no restrictions in Irish airspace for at least 24 hours.
A number of flights from Ireland to Scotland were cancelled today due to volcanic ash from Iceland.
The IAA said all Irish airports will remain open but that a small number of European destinations may be affected, causing some disruption to flights to and from Ireland.
Intending passengers are advised to check with their airline before traveling. The IAA is to give its next update at 9pm.
European air traffic controllers said this morning that 252 flights had been cancelled as a volcanic ash cloud covered Scotland and Northern Ireland.
'Most airlines have cancelled flights today - 252 flights,' said Brian Flynn, head of operations at the Brussels-based Eurocontrol via Twitter. 'Parts of ashcloud to cover Scotland and Northern Ireland today,' he added.
Aer Lingus has cancelled a total of 20 flights to and from Scotland today. 1,000 customers have been affected. Flights to and from Scotland from Dublin, Cork and Shannon airports were cancelled.
A statement from Ryanair early today said it had been advised by the IAA that it could not operate flights to or from Glasgow Prestwick, Edinburgh or Aberdeen until at least 1pm.
Ryanair said it strongly objected to the decision and believed there is no basis for the flight cancellations.
Ryanair's Chief Executive Michael O'Leary said it had carrried out a test flight over Scotland this morning and found no evidence of ash cloud on the plane's airframe, wings or engines.
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The eruption of the Grimsvotn volcano in Iceland forced US President Barack Obama to leave Dublin a day early to fly to London and also threatens to affect Barcelona's preparations for Saturday's Champions League final at Wembley Stadium in London.
Mr Flynn warned that the ash cloud 'will continue possibly southwards to France and Spain but hard to say now because weather forecasts are not precise for the end of the week'.
He said that by the end of the day, the cloud 'will cover southern parts of Scandinavia, Denmark and northern parts of Germany possibly.'
This raised the prospect of major travel disruption across Europe due to Icelandic volcanic eruption for the second time in little over a year.
Last year, the plume landed first in Scotland before spreading quickly across Britain and Ireland, then drifting across most of Europe.
The biggest shutdown of airspace in the post-war era left many airlines deeply unhappy over halting flights. A fresh confrontation loomed today between aviation authorities and carriers - who face substantial costs and lost revenue associated with cancellation and passenger rights.
During last year's eruption of the neighbouring Eyjafjoell volcano, over 100,000 flights were cancelled and eight million passengers stranded, dealing a harsh blow to the airline industry, particularly in Europe.
The threat of a repeat sent airline shares across the continent tumbling yesterday, with German Lufthansa, Air France-KLM, British Airways and Scandinavian airline SAS all seeing falls of around 3-4%. Aer Lingus closed about 7% lower, while Ryanair lost over 5%.
How far the ash travels will depend on the strength of the winds and the intensity of the eruption, experts agree, pointing out that historically Grimsvoetn eruptions have tended to have very brief explosive stages, with the intensity usually subsiding significantly within a few days.
