The coalition party leaders are set to meet officials from NPHET later to discuss the new COVID-19 variant.
Regulations on new travel and home quarantine policies are being drawn up.
It it is expected the National Public Health Emergency Team will meet Monday to hear the latest from its Epidemiological Surveillance Team on the rise of the Omicron variant.
Chief Medical Officer, Dr Tony Holohan, met with Health Minister Stephen Donnelly on Sunday - with officials also analysing the early international data available.
The CMO said new regulations are being drawn up to give effect to new travel and home quarantine rules.
While everyone who arrived to Ireland from Botswana, Eswatini, Lesotho, Mozambique, Namibia, South Africa or Zimbabwe since November 1st are being asked to isolate and present for PCR testing - regardless of whether or not they have symptoms.
The coalition party leaders will meet with NPHET officials later to discuss the situation.
But no meeting of the Cabinet Sub-committee on COVID-19 was scheduled as of Sunday night.
The sub-committee is usually a precursor to any further measures being brought in.
A full Cabinet meeting is due on Tuesday, should NPHET recommend any further measures be taken to insulate Ireland from the Omicron variant.
Meanwhile Professor Anthony Staines said he believes the new variant of COVID has "probably" already arrived in Ireland.
"It's probably here already", he told Newstalk on Sunday.
“We don't have a very substantial genetic sequencing programme in Ireland. So we were sequencing around 10% of our cases, which is not really enough to be confident about whether it’s here or not.
"But I think it's not time to be panicking about anything yet.
"We don’t know exactly how it's going to play out just yet."
Additional reporting: Jack Quann