The full reopening of pubs could be delayed, according to Taoiseach Micheal Martin.
Pubs that serve food are currently allowed to open, with the remainder set to welcome customers again from July 20th.
Over the weekend, Gardai carried out more than 6,000 checks at licensed premises across the country.
They've been checking whether pubs and restaurants are complying with public health guidelines since 7pm on Friday, under Operation Navigation.
Gardai say most of them were following the guidelines.
However, some concerns have been raised at some locations, particularly in Dublin City Centre, where hundreds of people gathered in the Dame Lane are to drink on Saturday night.
A DJ entertained the crowd as take-away pints and drink bought from off-licences was consumed.
Taoiseach Micheal Martin has told Cork's Red FM this could hamper plans to open all pubs from July 20th:
"As you know the full opening was due to take place on July 20th, people do need to behave, it could be delayed".
"We are worried about it, some of the scenes that were witnessed are just very worrying because social distancing was not being complied with at all".