There will also be heavy and persistent rain across a swathe of Britain leading to flooding and further disruption.
A Met Office yellow "be aware" warning for wind has been in place since 3am for the west of the country, with gusts of about 80mph expected.
Despite there being no weather warning now in place for Wrexham on Saturday, further heavy rainfall is expected to hit the area throughout most the day.
The storm has brought very strong winds and heavy rain in many places, with the western side of the country experiencing some of the strongest winds.
Trains between Preston and Carlisle have been cancelled due to "severe weather".
Met Eireann announced that weather warnings for the west and northwest coast would remain in place today until 5pm.
Although all Irish rail services have resumed, delays remain due to "debris on the line and heavy leaf fall overnight causing low rail adhesion issues", according to Irish Rail.
Parts of the south and east escaped completely with dry conditions and temperatures in the mid-20s, with Donna Nook in Lincolnshire reaching 26.5C, making it the warmest October day in seven years, the Met Office said.
"Here we could see up to 200mm or more in some localised area here and that could bring more flooding".
He warned that gusts of up to 40 or 50 miles per hour will be felt across western parts of Scotland, Wales, and western England throughout the day, with stronger gusts of 60 miles per hour possible along the Irish Sea coast.
Those planning to travel ahead of the weekend should note there may be significant disruption following the storm.
Though peak winds have abated in most areas this morning, the aftermath of Storm Callum is still being felt around Ireland, and especially in coastal counties.
Storm Callum is the third named storm of the season to hit the UK.