Met Éireann has warned of further heavy rain for parts of the east, south and south east in the coming days.
The national forecaster has issued two separate Status Yellow weather warnings.
The first rain warning applies to counties Carlow, Kilkenny, Wexford, Cork and Waterford. It is due to be in place from 1:00p.m tomorrow (Monday, February 2) until 9:00a.m on Tuesday (February 3).
A similar warning will be valid for Dublin, Louth and Wicklow from 9:00p.m on Monday until 1:00p.m on Tuesday.
According to a weather advisory issued by Met Éireann, spells of heavy and persistent rainfall will continue through the coming week, particularly in southern and eastern coastal counties.
The heavy rain will be falling on already saturated ground combined where river levels are high with high tides expected this week.
This will bring a further risk of localised flooding, river flooding and difficult travel conditions.
Following a week of persistent rain in places, Met Éireann said that many rivers are at or above bank-full conditions and rainfall has caused both river levels and surface water levels to rise significantly.
The best of the bright or sunny spells this weekend will be today.
The winds are expected to be light for the most part, but it may be a little breezier on Monday with the chance of further rain moving up from the south later in the day.
The UK Met Office has also issued an ice warning for Northern Ireland.
It said that icy patches may form on untreated surfaces during Sunday night into Monday morning.
The warning will be valid until 7:00p.m tonight until 9:00a.m on Monday.
Meanwhile, Revenue is advising farmers impacted by Storm Chandra to contact them as soon as possible.
The south and south-east of the country are continuing to deal with the impact of the storm which led to severe flooding in some areas.
The heavy rain and showers which fell on already saturated ground, combined with high river levels, caused flooding of homes, businesses and farms.