"The rain warning applies to Scotland and the eastern central Scotland, where up to 50mm is expected to fall in localised areas".
The Thursday morning commute in both Ireland and large parts of the United Kingdom could also see significant delays caused by the unsettled conditions.
A status Orange alert has been issued for six counties in the West, South and Southeast.
The Met Office has warned that wind speeds are likely to reach close to 70mph and a yellow weather warning has been issued for the eastern part of the province from 9am until midnight.
Before then, Monday is expected to remain chilly and bright for most parts, although there will be some showers in the east.
Met Éireann says winds of 55 to 65 km/h will gust 90 to 110 km/h. Highest temperatures 8 to 12 degrees.
As for later: "Tonight will be overcast and windy again". Southwest winds will be strong with further gale gusts. "Minimum temperatures 4 to 8 degrees". Rain will clear the west in the evening and will be heavy at times in the north and northwest.
He said: "As one warm weather front clears another one moves in, and this deep area of low pressure for Wednesday bringing very wet and very windy weather". But winds will ease from the south through the period until 2pm on Wednesday. Moderate southerly winds will become strong southwesterly.
A new cyclonic low, which will span 2,000 miles from the north of France to southern Greenland could be strong enough to warrant another name - Deirdre - before the weekend.