It comes as Spain sizzles in parts as temperatures are set to soar to 43C in first heatwave of the year
Met Éireann has forecast a “calmer and drier” week ahead as temperatures may top 21C.
However, heavy rain may also come towards the end of the week as there is still uncertainty in the forecast.
Today will see fewer and lighter showers than recent days, however, heavy ones are still possible, especially across Ulster.
It will remain fresh this morning with a mix of bright sunny spells and scattered blustery showers moving right across the country.
Highest temperatures of 14C to 19C are expected with rather breezy moderate to fresh westerly winds.
Some dry weather will finally come tomorrow as some more sunny spells are forecast with just a few scattered showers.
“The start of the week is looking fairly dry, so overall there is going to be a lot of dry weather on Monday, Tuesday and Wednesday,” Met Éireann forecaster Linda Hughes said.
"So just light patches of rain and drizzle mainly in the west and northwest.
"The highest temperatures will be in the east and southeast over the next few days, so around average for Monday and Tuesday, not getting above 17C or 18C in the south east.
“Slight temperature increase then on Wednesday, about 19C or 20C but it’s looking a little bit cloudy overall and the best of the sunny spells will be in the southeast.
"It will be fairly nice in the southeast on Wednesday probably 19C or 20C.”
Temperatures then could reach 21C on Thursday in the southeast, but Ms Hughes said there is “a good bit of uncertainty in the forecast from Thursday on.”
She added: “At the moment we could see temperatures getting close to 20C maybe 21C on Thursday but there is potential for rain with that so it’s not looking like there will be an awful lot of sunshine.
"On Thursday rain is most likely to affect the north and west, where it will be cloudy. In the south and east if that rain does hold off it could be a fairly good day so we could see temperatures at 20C, 21C in the southeast.
“We might see similar temperatures in the southeast on Friday, but there is a lot of uncertainty in that as there is rain due to cross the country, so it depends on how fast that moves across, but generally across the country we will see temperatures dipping down again on Friday and back into average temperatures about 15C to 18C.
"And they will be back down at the weekend.
"So it’s up and down with temperatures this week, with the potential for some warmer conditions in the east, especially on Thursday and Friday.”
Meanwhile, parts of Spain are enduring the first heatwave of the year, with temperatures forecast to reach 43C in some areas.
The Aemet weather agency said a mass of hot air from North Africa is sweeping over Spain.
The hottest areas will be in central and south-western Spain, and the heatwave is expected to last at least until Wednesday.
The high of 43C is forecast for the southern cities of Seville, Cordoba and Badajoz.
Meteorologists said the temperature in Madrid could hit 38C, which is well above average for early June.
The forecasted high in coastal Barcelona is 32C.