The chief medical officer says speeding up the lifting of coronavirus restrictions in some counties hasn't been ruled out.
But Tony Holohan says there's no reason to have different approaches in parts of the country at the moment.
The two-week quarantine period for people arriving into Ireland from abroad could also be lifted for some visitors.
The Irish Times reports the government may remove it for people coming from countries where Covid-19 is controlled.
Here, a further nine people with the virus have died, and there are 46 new confirmed cases.
Meanwhile The HSE says it is not in a position yet to announce a plan for the re-opening of cancer screening across the country.
Chief clinical officer Colm Henry says operations have been stopped in many areas of the health service to prevent the spread of Covid-19:
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