Storm Eleanor hit Ireland on Tuesday causing major flooding in some areas with Galway and other parts of the west particularly affected.
Andy Page, Met Office Chief Forecaster, said: "The unsettled theme lingers throughout this week, with further spells of rain moving across the United Kingdom from the west as the return to work continues for many".
A Met Office forecaster said: "Strong winds will continue through much of today".
"In the North we're looking at 4C to 5C where as in the South they will be virtually double that". It will be generally dry elsewhere bar a bit of rain in the south. Scotland might have to endure temperatures as low as minus 10 degree Celsius as the weather gets warmer to the south of England on Saturday night (minus 3 degree Celsius).
"Further damage to the electricity network can be expected in north Leinster as the storm tracks east". There were also power cuts and flight cancellations in western Europe.
Highways near Duisburg and Juelich in the west were also partially blocked because of toppled trees and flooding.
A pregnant woman was airlifted to hospital in Wales by a coastguard rescue helicopter in 60mph winds after she went into labour early amid praise for the crew who completed the 60-mile flight in "appalling conditions".
A small airplane lies upside down after a squall topled the plane in Buochs Switzerland today
They said many coastal roads still had issues with standing water and advised motorists not to try to drive in flooded areas.
Despite more widespread flooding being predicted, the region escaped the brunt of the storm, while there were no reported injuries, despite the Met Office warning of the potential for "danger to life".
The eastern USA, already in the grip of a record-shattering cold snap, will be seeing freezing rain, snow and strong winds.
Local meteorological department Met Eireann said that Eleanor, which swept across the country from west and southwest towards northeast since Tuesday evening, has cleared the country, but damaging inland gusts are still likely.
"Some delays to road, rail, air and ferry transport are likely with some journeys taking longer".