The Social Democrats are calling for the establishment of an 'All-Party Forum on Political Reform' ahead of the formation of a new Government.
The party, which will have three seats in the 32nd Dáil, says that the forum should meet within the next week to agree a reform programme.
The party's co-leader Roisín Shortall said, "it should be possible to hold an All-Party Forum on reform regardless of what else is going on in relation to Government negotiations and we believe the reform agenda should be prioritised and agreed prior to the formation of a new Government.
"We believe it is possible to achieve fundamental reform. An independent Chair with expertise in political reform could help ensure that politicians from all hues work together constructively to devise a political system that is reflective of modern Ireland and one in which citizens can have faith," she added.
The party earlier this week issued a set of proposed reforms, including a re-balancing of the relationship between the Dáil and Government, the establishment of an anti-corruption agency, and increased transparency in decision making.
Fianna Fáil has called for a month to be set aside for extensive Dáil reform discussion before talks to form a new government start, with Micheál Martin saying the new Dáil "should not represent more business as usual".