All flights out of Irish airspace have been given the green light - at least for the next 24 hours.
Met Éireann said northerly winds later in the week would increase the chances of disruption to travel caused by ash from the Grímsvötn volcano, which erupted on Saturday.
Restrictions in other European countries have affected a small number of flights.
Last night, the Volcanic Ash Advisory Centre in London said there was a strong possibility the ash cloud could affect parts of Denmark, southern Norway and southwest Sweden today, with possible disruption to flights in to and out of these countries.
Meanwhile, Ryanair is in collision with the UK Civil Aviation Authorities over the ash cloud exclusion zone in Scotland.
Company spokesman Steven McNamara confirmed that Ryanair had sent two test flights to Scottish air space to fly over the so called 'red' zone which is believed to have the highest intensity of volcanic ash. They encountered no problems, he said.
Aer Lingus and Ryanair plan to operate a full schedule following yesterday's cancellations and disruption due to the Icelandic ash cloud. However, passengers are advised to check with their airlines before travelling.
The British authorities have also declared their airspace safe and the Germans have reopened Bremen and Hamburg airports .
Airspace over Berlin and Hanover, however, may be affected.