The Health Minister, Stephen Donnelly is coming under fire for expressing his desire for travel companies and airlines to make it clear to tourists there's an expectation they isolate for 14 days when they arrive to Ireland.
There have been reports over the weekend of visitors not quarantining when they come here holiday.
There's a mandatory self-locator form for visitors to tell officials where they intend to spend the two weeks of isolation. However opposition parties say having an expectation for people to quarantine is not good enough and that there needs to be laws and penalties for those who don’t comply.
Meanwhile An infectious diseases expert says any visitor from overseas who doesn't quarantine for two weeks should be jailed.
It comes as the World Health Organisation reports a record daily increase in global Covid-19 cases at 230,000 - 66,000 of them were in the US.
No further deaths were reported here yesterday, however seventeen people tested positive for the virus.
Direct passenger flights from several US cities to Ireland resumed over the weekend.
Professor Sam McConkey of the Royal College of Surgeons says asking tourists to promise to self-isolate isn't enough to protect us.