An infectious diseases expert says travel should continue to be restricted to England and the US next month.
The government's decided to allow foreign travel to resume between some countries from July 9th.
The Taoiseach says a 'green list' of states will be put together - and these would be exempt from the 14-day quarantine rule.
People will also be allowed travel anywhere in Ireland from Monday.
Professor Sam McConkey, from the RCSI, says international travel should be re-introduced very cautiously.
During last night's announcement, the government also confirmed face coverings are to be mandatory on public transport.
Some self-employed people are to be given grants of up to 1,000 euro to help restart their businesses.
Social Protection Minister Regina Doherty also says the school meals programme will continue during the summer holidays
Wicklow Faces Rising Flood Risk As Recent Effects Of Storm Claudia Are Analysed
Greystones Culture Hub The Whale Theatre Appeals For Community And Council Support
Caredoc Wicklow Staff To Join National Strike A Week From Christmas As Pay Agreement Not Respected
Creative Talents Of Greystones Artist Jill Tritschler Recognised With National Award
Tanaiste Harris Hails N11/M11 Upgrade Plans While Wicklow DART Plans Are Firmly On Track