Met Eireann has this afternoon issued another Status Orange weather alert, warning that the fog may become more extensive and dense later this evening.
The met office added: "There is a small chance that power cuts will occur and other services, such as mobile phone coverage, may be affected".
Thick fog will also cause travel chaos across the United Kingdom as commuters will face hard driving conditions and flight delays today.
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Remote parts of Britain will be hit by freezing winds as temperatures could drop as low as -10C in and snow could even fall on higher grounds. Winds fresh to strong westerly much of the time.
There are also warnings that visibility will fall below 100 metres in places.
While Limerick city and county is now enduring dense fog at present, Met Eireann expects this to worsen between Thursday evening and the early hours of Friday morning.
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Wrexham is again covered in the weather warning, which is the second to be issued in two days.
'We have already seen fog around and it will continue over the next couple of hours and into today.
Motorists were warned to take care in the conditions with the AA advising drivers to use their fog lights.
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Met Éireann say that the fog will be most dense inland, away from coastal areas, and will lead to poor driving conditions, so if you are going to be on the road, you might want to allow a little extra time to get from A to B.