TAOISEACH Enda Kenny told senators he will listen to their views on how the Seanad should be reformed, just weeks after failing to have them scrapped.
But Mr Kenny provided no timeline for any reform.
The Taoiseach started his first speech in the Seanad since the referendum defeat by quipping: "I come in peace and not in war."
He said he accepted and respected fully the decision of the electorate.
"I intend to meet the other leaders in the Dail and Seanad shortly to discuss reforming the Seanad," he said.
Mr Kenny said the Seanad electoral system and the roles that might be assigned to the Upper House were the two areas most often discussed.
He said legislation to give effect to the 1979 referendum to extend voting rights on the election of the university senators needed to be enacted.
Mr Kenny said posters with incorrect information, such as the claim of €20m saving during the recent referendum, should be corrected during the campaign.
Independent senator Feargal Quinn welcomed the Taoiseach to the Seanad and said it was "magnanimous" and his decision to come was "a measure of the man".