Germany and Iceland also look set to be removed from the controversial “green list” of countries after a rise in cases.
The rate in both countries has risen above the threshold of 25 cases per 100,000 of population applied by the Irish Government when the list was updated only last week.
The Department of Foreign Affairs updated the Government's green list of countries which comes into effect on Monday.
The countries include Cyprus, Finland, Germany, Iceland, Latvia, Lithuania and Poland.
However, a number of countries removed from the list include Hungary, Italy, Slovakia, Greece, Norway and Estonia.
Germany’s 14-day incidence of Covid-19 increased on Saturday to 25.8 cases per 100,000 of population, while Iceland’s figure is now 47.9, according to the latest data from the European Centre for Disease Prevention and Control.
While the Government also takes into account other factors when deciding which countries go on the “green list”, should current trends continue both countries are likely to be taken off the list when it is updated next Thursday.
Ireland’s 14-day incidence of the disease stood at 63.2 cases per 100,000 on Friday, varying from 123.6 per 100,000 of population in Dublin as a whole to 10.7 in Sligo.
Green Party leader Eamon Ryan warned on Sunday that more counties could be moved to Level 3 restrictions if cases rise this week.
Aer Lingus has criticised the update, saying it does not represent a step towards alignment with the European Commission's free movement proposal.
Last week, the Government said it decided to "broadly support" the European Commission proposals on travel.
A statement from Aer Lingus said: "Aer Lingus is concerned at the approach taken by the Department of Foreign Affairs and Trade today in updating the green list.
"On Tuesday the Government indicated that it would align with the proposals developed by the European Commission which outlines a co-ordinated approach to free movement across the European Union and European Economic Area.
"The application of that proposal would have seen the following countries retained on the list: Greece, Italy, Norway, and Slovakia.
"It would also have seen the following countries added to the list: Bulgaria, Sweden, Slovenia, Denmark, United Kingdom, Portugal, Belgium, Netherlands, Austria, Luxembourg, Malta.
"Aer Lingus looks forward to the early and complete implementation of the European Commission's free movement proposal."
The Minister for Foreign Affairs and Minister for Defence Simon Coveney said changes announced on Thursday will come into effect on Monday.
He added: "The Government agreed that Ireland should broadly support the European Commission proposal for a common approach to travel within the EU/EEA, which is currently under discussion in Brussels.
"Between now and the EU signing off on a system, Ireland's green list will be updated on a weekly basis.
"People should use our travel advice to carefully consider their need to go abroad and take into account the restrictions that other countries may have on travellers from Ireland.
"Citizens should be aware that many countries, including some of those on the green list, are imposing quarantine, testing or other restrictions on arrivals from abroad."
