The Department of Education has yet to announce final details on this year's Leaving Certificate exams, after a sixth stakeholder meeting on Wednesday.
The gathering involved representatives of students, parents, teachers, school leadership and management bodies, the State Examinations Commission (SEC), the National Educational Psychological Service, the National Council for Curriculum and Assessment and the department.
The Higher Education Authority (HEA) attended the meeting in an observer capacity.
In a statement, the Department of Education said: "The group continued its discussions on the practicalities of holding the Leaving Certificate examinations, given the constraints of social distancing and other measures that may be required, based on the available medical advice.
"The group also discussed alternative assessment models."
They also received updates on the measures that have been put in place to support the well-being of students.
Education Minister Joe McHugh said: "I want to thank the members of the group for their ongoing engagement and support for the work on hand.
"Discussions here today will assist in making decisions regarding arrangements for the Leaving Certificate that have students’ best interests at heart and that are guided at all times by the public health advice."
Minister McHugh has previously said he wants the State exams to begin on July 29th.
While students have already been told they will automatically be awarded full marks in their oral exams, which were cancelled.
Several alternatives to holding the exams have been floated - including a predictive grading system for students based off previous work.
Fianna Fáil has previously called on the Government to cancel the exams completely.
The party's education spokesperson Thomas Byrne said: "Leaving Certs are essentially back where they started in March: unsure what the situation is, and whether the exams will be going ahead.
"While this is a challenging time for everyone right now, it’s unfair to underestimate the stress and anxiety that Leaving Cert students are feeling as the uncertainty about their exams and their futures continues.
"The inequities inherent in self learning online are well known.
"I believe the Government cannot continue to adopt this wait and see approach with the Leaving Cert.
"It is becoming clearer with every week that passes that it is simply not tenable for it to proceed."