A spokesperson said: "A spell of strong and gusty winds is expected to move eastwards during Thursday".
The maximum temperature today will be 8°C.
Pictures from Galway city centre on Tuesday evening showed cars ploughing through high water and business owners struggling to protect their properties.
"We urge people to stay safe on the coast - take extreme care on coastal paths and promenades, and don't put yourself at unnecessary risk trying to take "storm selfies" or driving through floodwater".
But that has not stopped jokers from taking a dig at the dire weather.
"Thankfully there was no major structural damage and nobody injured that we know of".
Looking further ahead, the cold weather seems likely to persist into next week with some very cold nights expected.
EPAA man risks his life taking
27,000 homes across the country remain without power this afternoon.
High tide in Galway this morning, January 4.
Torrential rain and strong winds continue to batter the country following Storm Eleanor which was as strong in places as Hurricane Ophelia.
At least three people were killed as winter storm Eleanor swept across Europe causing widespread disruption, leaving thousands of homes without power and bringing transport links to a halt.
As the clean-up operations begin, financial supports will be made available to householders affected and the Humanitarian Assistance scheme activated as necessary according to the Government.
"The tide level should be comparable - but marginally higher - than Wednesday lunchtime".
Two people had to be rescued, one from her vehicle; the overhead tram lines were downed; and a business in Little Eccleston was flooded during Storm Eleanor, which had council workers out in Wyre yesterday clearing away debris.
Utility company Western Power Distribution says everyone affected should have services restored by lunchtime.