Met Éireann has warned of localised flooding in areas with a Status Yellow rain warning in effect in five counties in the south and southeast of the country.
The warning for Carlow, Kilkenny, Wexford, Cork and Waterford came into effect at 9pm and will last until 3pm tomorrow.
A separate Status Yellow rain warning is set to come into force in Wicklow, Dublin and Louth tomorrow morning at 6am and will last until 9pm.
Met Éireann said further heavy rain falling on saturated ground combined with high river levels and high tides will lead to localised flooding, river flooding and difficult travel conditions in the affected areas.
It comes as Taoiseach Micheál Martin said the Government cannot "wave a magic wand and just deliver" flood relief schemes.
Watch: Govt cannot wave magic wand for flood relief, says Taoiseach
Mr Martin was speaking after he met residents of Island Road in Enniscorthy, an area that was badly hit by flooding in recent weeks after the River Slaney burst its banks during Storm Chandra.
He told one resident that the Government is "determined to do a number of short-term measures first" to alleviate the impact of flood damage.
Speaking to reporters, Mr Martin said it was "a soul-destroying experience to have your house flooded or your business flooded, and there has been a pattern here over many decades of flooding at this location".
"Our objective is first of all to provide humanitarian support to the families and also supports to the businesses that have been impacted," he said.
"Secondly, the Office of Public Works (OPW) will work with the local authority in respect of interim measures to try and protect these houses and this location more generally and there are interim measures that can be taken to provide that protection and that reassurance, and that we will do.
"Obviously, then, thirdly, the substantial, comprehensive scheme itself will be submitted for planning and it is complex, all of these schemes are, but nonetheless, we want to get that started."
Minister for Public Expenditure Jack Chambers yesterday acknowledged that the delivery of flood relief schemes in Ireland has been "too slow".
Asked if there was any way the Government could "expedite" flood relief schemes, Mr Martin said planning routes "have to be gone through, there's no question".
He added: "We'll do everything we can to speed up the progress of a scheme, going through the planning process and the design and development works itself.
"These are very comprehensive schemes. They are complex. I'm not going to try and pretend that we can wave a magic wand and just deliver them. That would be wrong to do.
"But what we can do, it's a parallel approach, the interim measures, whilst doing everything we can to shave off time."
Taoiseach meets Wicklow residents affected by floods
This evening, Mr Martin also met with people in Aughrim, Co Wicklow.
Among those were representatives of Wicklow County Council, as well as local councillors and people from the area.
One resident, John Connolly, told the Taoiseach that houses, cars, property and livestock were all damaged, and that it has been a significant mental impact on people including children.
He added that the response by the local community was "amazing and brilliant", adding that "people with very little came and gave money" to help those who had suffered.
"We had Hurricane Charlie in '86, I'm old enough to remember that. but it was nothing like as bad as it is now, plus the fact that in the intervening years we’ve had a lot of homes built and they are devastated.
"It will take a long time to get back, and even when the houses and cars and everything are sorted out, the memory of this will have a negative impact and never go away."
Mr Martin told Mr Connolly he would work with Wicklow County Council and the OPW to see what measures can be taken to protect people.
Govt to examine systems to deal with weather events
The Taoiseach said that the Government will examine the systems in place to deal with major weather events.
Mr Martin said that he has convened a meeting tomorrow with senior ministers and the National Emergency Coordination Group (NECG) to review warning systems for weather events.
"There will be an overview of our systems and the framework that we have at the moment that deals with major events of this kind.
"They're happening with greater frequency, and that's something we will be examining."
Meanwhile, Minister for Housing and Local Government James Browne, who was with the Taoiseach, was asked if he believed Met Éireann had been withholding weather information last week.
This afternoon he said: "The phrase I used was 'guarding', and it was in relation to very highly technical data, in relation to flooding not weather forecasting, and I've met with the director of Met Éireann since then, and what we're looking at [is] how we can, I suppose, make that data viable information that can be used."
Flood risk 'very high' in east and southeast
The National Emergency Coordination Group has warned the risk of flooding across the east and southeast regions is "very high" in the coming days, with further heavy rain forecast.
NECG chairperson Keith Leonard said peak levels of rainfall will be seen tomorrow and Wednesday.
"We're watching all the catchments, the Slaney catchment in particular, the Liffey catchment," he said on RTÉ's Morning Ireland programme.
"But really right across the east region, even up to Cavan and Monaghan, flooding is likely in all of those areas."
Mr Leonard said that the Carlow, Kilkenny, and Slaney catchments are at peak levels, and local authorities were hoping for some respite over the weekend but "we are back into really difficult conditions this week".
The NECG has said that emergency services and local authorities are on alert.
People have been advised to keep up to date with warnings from Met Éireann and local authorities and call 999 or 112 if they need urgent assistance.
Additional reporting PA, Gavin O'Callaghan
