Update 9.16pm: Up to 3 centimetres is expected to fall on several parts of the country tomorrow evening.
Met Éireann has issued a status yellow weather warning for a number of counties.
The snow-ice warning is valid from 6pm tomorrow evening lasting until Tuesday morning.
Met Éireann forecaster John Eagleton says the weather warning covers Donegal, Leitrim, Roscommon, Sligo, Tipperary and Waterford.
He said: "It could occur anywhere really but it is not a very active front but there is very cold air behind it which does lead to sleet and snow."
Update 5.40pm: Met Éireann issue status yellow snow-ice warning for several parts of the country
Met Éireann has issued a status yellow weather warning for several parts of the country tomorrow.
The snow-ice warning is valid from 6 o'clock tomorrow evening for all of Leinster - as well as the counties of Cavan, Monaghan, Donegal, Leitrim, Roscommon, Sligo, Tipperary and Waterford.
Some areas could be hit by up to three centimetres of snow.
Isolated showers will continue near the east coast this evening and early tonight. Otherwise cold and frosty overnight with long clear periods and lowest temperatures of -4 to +1 degrees in almost calm conditions. Some mist and fog patches will develop in places. pic.twitter.com/toYKvOp8Ml— Met Éireann (@MetEireann) February 4, 2018
John Eagleton weather forecaster with Met Éireann says there is a front moving across the country tomorrow evening and tomorrow night.
He said: "It is not terribly active but it is cold behind it and they may give us some sleet and snow across the country."
Weather Alert. Level:Yellow. Snow- ice Warning.https://t.co/9BeK3UcAwO— Met Éireann (@MetEireann) February 4, 2018
Earlier: Snow and ice warnings issued as temperatures set to fall
A Status Yellow snow and ice warning has been issued by Met Eireann for Leinster, Cavan, Monaghan, Donegal, Leitrim, Roscommon, Sligo, Tipperary and Waterford
Met Eireann have warned that falls of snow could occur from Monday evening, with accumulations totalling up to 3cm possible in some areas, leading to treacherous road conditions by Tuesday morning.
The warning is in place from 6pm on Monday until 6am on Tuesday.
It is expected that temperatures will fall to -4C overnight with a widespread frost and the risk of ice on untreated roads and other surfaces.
Road conditions in parts of the country are already being reported as difficult with icy conditions noted on several secondary roads.