Almost 40,000 applicants have accepted a third-level place in this year's first round of CAO offers.
More than 52,000 students received an offer this year, with half of Level 8 applicants being offered a place on their first preference course.
A second round of offers will be made on Thursday 27 August.
In a statement the CAO reminded students who have accepted a second or lower preference course that they may receive an offer of a higher preference course in the second round.
Those students are free to accept or ignore the later offer.
It also said its website www.cao.ie features a list of courses where there are still available places.
There are 200 courses listed on the site which are open to new and existing applicants.
Meanwhile, the Department of Education has still not published the details of a scheme that would remove the requirement for student asylum seekers to pay full international fees to access third level education, once they have been in the school system for five years or more.
A department spokesperson said on 14 August that it was "expected" that the scheme would be published during the week 17-23 August.
However, a spokesperson said today that "details of the scheme are being finalised at present, and the scheme will be published in the near future."
The spokesperson said that student asylum seekers who would qualify under the as yet unpublished scheme "should certainly accept their CAO offers if that is what they wish to do".