A status yellow warning for rain will take effect in three counties in the south of the country on Monday morning.
Cork, Kerry and Waterford could see spot flooding and difficult travelling conditions from 9 am.
The alert will stay in place until 6 am on Tuesday, with drivers warned of poor visibility.
Rain will be heaviest and most persistent in the south and west with the possibility of spot flooding.
Much of the eastern half of the country will remain dry until later in the evening, with temperatures reaching five to 11 degrees Celsius. Ulster will be the coolest, and Munster will be the mildest.
Monday night will be wet and breezy weather will persist for much of the night with mist in places.