Opposition TDs have called on Minister for State Robert Troy to make a statement in the Dáil outlining all of his business interests when it returns next month.
It comes as Mr Troy apologised for what he called serious "mistakes" in relation to "omissions" he made regarding property he owned that should have been included in a register of politicians' interests.
Social Democrats co-leader Catherine Murphy said "the drip feed of information" from Mr Troy has been "deeply unsatisfactory".
She said: "As a junior minister in Government, with responsibility for company regulation, it beggars belief that Mr Troy would fail to declare his directorship of a property management company in his Dáil register of members' interests."
Sinn Féin TD Pádraig Mac Lochlainn also called on Mr Troy to make a statement on the matter and urged him "to be open and transparent about these allegations".
Mr Mac Lochlainn added in order for there to be public confidence in Mr Troy, he must clarify "concerning revelations around his property dealings".
In a statement last week, Mr Troy said he had been under the "mistaken impression" that only property in his possession on 31 December of any year needed to be registered and not properties sold during that year.
He denied that he had insisted that rent be paid to him in cash.
Mr Troy said that Westmeath County Council paid rent to him through electronic transfer.
He also rejected allegations of improper tax conduct and said he was fully tax compliant as a landlord and as a public representative.
Taoiseach Micheál Martin said that he had spoken with Mr Troy last week and told him to issue a comprehensive statement.
He said: "I would have spoken to him last week and said just issue as comprehensive a statement, put it all out there, in respect of that and he has done that, and he will clarify any other issues that people have".
Earlier, his Fianna Fáil party colleague Niall Collins said he does not think that Mr Troy has more questions to answer.
Speaking to RTÉ's Today with Claire Byrne, Mr Collins said: "I don't, look I mean, Robert Troy, by his own admission (and) from what I've heard following the issues over the last number of days, Robert Troy has made an amendment to his Standard in Public Office annual declaration."
Mr Collins said that Mr Troy was a landlord before entering Dáil Eireann and said that it is "not a secret".
