Concerns have been raised about large crowds gathering in Dublin city centre last night.
Only pubs which serve food are currently allowed open, with gardaí carrying out spot checks to make sure the guidelines are followed.
People are being urged to follow social distancing if they do head out.
However, images and videos on social media showed dozens of people gathering on streets in the capital yesterday evening.
Gardai walking around the streets in Dublin City Centre to make sure pubs are not breaking the guidelines on social distancing, serving food or time limits etc
Yet this is allowed on Dame Lane..... pic.twitter.com/4inEgsY2Rm
— Barry Whyte (@BarryWhyte85) July 4, 2020
Dublin city councillor Mannix Flynn is appealing to people not to lose their discipline and to have respect for other people's health.
He said he saw people spilling onto city footpaths last night and a lack of social distancing in some areas.
Councillor Flynn suggested he and others were 'nervous' due to the numbers of people on some city centre streets.
Meanwhile, intensive care physician Dr Catherine Motherway says people do need to have personal responsibility to help prevent any re-emergence of coronavirus.
She said: "One of the most important things we have to do is educate and empower our populations on how to live with this virus. We do need to have personal responsibility.
“You can look into an establishment if you want to go for a drink - which we’d all like to do after the long period of time - and you can actually be responsible: if it doesn’t look safe, don’t enter.
“If you’re socialising with your friends… try to keep meeting the same group of people so you minimise your contact with lots of different people. That’s how we’re going to have to live for the next period of time.”