Pubs have been warned they face being shut under emergency legislation if they do not close voluntarily.
On Saturday, officials from the Department of Health said they were aware that pubs in some areas of the country are continuing to open.
Chief medical officer Dr Tony Holohan said: "If any such premises become known to us, the minister will be advised to use his regulatory powers to enforce the temporary closure of premises in order to prevent the spread of COVID-19."
Inner City Helping Homeless has criticised Housing Minister Eoghan Murphy over plans for the homeless during the coronavirus crisis.
The group said plans announced by the minister were "inadequate".
ICHH CEO Anthony Flynn said: "Hostels are still filled to capacity and our outreach teams are assisting up to 90 people a night sleeping rough on the streets."
After Italy recorded almost 800 deaths in one day on Saturday, Russia's military will start sending medical help to the country from today.
Italy is one of the world's hardest-hit countries, with more than 53,000 cases - and almost 5,000 people have died.
Strict new measures were introduced in the Lombardy region on Saturday in an effort to tackle the spread.
Staff at Dublin's Phoenix Park have marked out new signs to help people keep their distance during the pandemic.
They have painted new markings on the paths along Chesterfield Avenue.
This is to help people visualise what two metres of separation looks like.
Sunday marks World Water Day - and we are being urged to remember people in the developing world as we wash our hands.
Some 2.6 billion people do not have something most of us take for granted: access to clean tap water at home.
Some have to draw water for drinking, cooking and cleaning from wells and carry it for miles.