There's a call for any reference to the life of an unborn child to be completely removed from the Constitution.
It follows the Taoiseach's admission that he won't consider holding a referendum until he figures out what might replace the current law.
The 8th Amendment - Article 40.3.3, which was voted into our Constitution in 1983 - upholds the right of life of the unborn as equal to that of a mother's.
It's a controversial law that's blamed for thousands of Irish women each year being forced to travel to other countries, mainly the UK, to terminate unwanted pregnancies.
Calls for a change in abortion law have been growing, following the successful outcome of the marriage equality referendum earlier this year.
A group, called The Coalition to Repeal 8th, today held its 2nd annual conference in Dublin. It believes any reference to an unborn child should be completely removed from the Constitution.
Ailbhe Smyth from the group says limited access to reproductive healthcare in this country discriminates against women and believes there is no such thing as 'abortion on demand' saying "I don't believe that any woman has ever demanded an abortion."
"Women request abortions, for a whole variety and range of reasons and we must as a society accept the reality", she said.
