Sinn Fein leader Gerry Adams asked Taoiseach Enda Kenny when he intended to legislate for abortion, while Fianna Fail leader Micheal Martin called for an external inquiry to be carried out on Savita Halappanavar's death.
Both opposition TBs were joined by Independent Shane Ross in expressing sadness over the death of the 31-year-old.
10,000 people marched through Dublin yesterday in memory of Savita Halappanavar, who died of blood poisoning after being denied an abortion.
Thousands took to the streets in Ireland to protest against the death of a pregnant Indian woman who died during a miscarriage.
An investigation has been launched into the death of a woman who was refused an abortion in an Irish hospital.