The Department of Agriculture has said there is no timeline at this point for an end to talks on the beef crisis.
The talks, described by some as constructive, have been continuing throughout Saturday at the department in Dublin.
Agriculture Minister Michael Creed earlier said the talks are to find "an urgent solution" to the current impasse.
It is part of an ongoing row with meat factories over beef prices.
It also comes amid fears more jobs could be lost around the country due to continuing protests at processing plants.
Representative body Meat Industry Ireland (MII), who pulled out of talks earlier this week, said they welcomed the progress made.
In a statement, MII said: "We are committed to working constructively to resolve the situation, and have always been ready to participate in talks, but only when negotiations could take place in good faith.
"We know farmers want to be able to sell their cattle, we know employees want to get back to work, and we know customers want their orders for quality Irish beef to be fulfilled.
"All parties need to focus now on delivery of these goals and on finding a prompt resolution."
Beef slaughtering operations are to remain suspended in blockaded plants during the talks.
However, MII said existing limited stocks of beef "must be allowed" have free movement in/out of meat plants.
It is also calling for an immediate resumption of sheep slaughtering in the two west of Ireland affected dual species plants to "alleviate a serious build-up of factory ready lambs in the most sheep intensive region of the country."
While on Friday, Irish Farmers Association (IFA) President Joe Healy welcomed the recommencement of the talks.
He said it was time to stop "the grandstanding and the posturing, and to get down to real talks."
"Meat Industry Ireland and the minister must come forward with concrete and substantive proposals to resolve the issues and improve the position of farmers.
"We can't afford to spend any time on posturing and game playing. We need to get this solved this weekend".
On the talks, Minister Creed said: "Now is the time for people to take a step back from entrenched positions and to take a positive approach towards resolving their differences.
"I have engaged intensively with all sides and have a deep understanding of the outstanding issues, and the emotion, involved.
"I expect all sides to recognise the urgency of the current situation, and to enter talks in good faith and with a firm intention to reach agreement tomorrow."
On Friday, German supermarket chain Aldi has said it would start re-labelling some Irish beef as 'processed in the UK'.
The chain said the ongoing pickets outside processing plants here have led to "industry-wide availability issues" for Irish beef.