The Cabinet has held another lengthy discussion on the proposed inquiry into the lead-up to the bank guarantee, and the guarantee itself.
A Government spokesperson said there was a "significant discussion" on the issue, including a contribution from the Attorney General.
However, he said, no decision was taken, including on the issue of whether a new referendum should be held on the powers of Oireachtas inquiries.
The spokesperson said the Government was anxious to get the inquiry right, and it was expected that the matter would be discussed again next week.
If another referendum is planned, the necessary legislation would have to be passed before the Dáil's summer recess to allow it take place on the same day as the referendum on the abolition of the Seanad in early October.
The Cabinet did approve legislation allowing for another referendum on that date, on the creation of a Court of Civil Appeal.
The 33rd Amendment to the Constitution Bill is likely to be published tomorrow, and to be brought before the Oireachtas next week.