Ms Dana Rosemary Scallon could still receive the endorsement of a number of local authorities in time to contest the presidential election at the end of October.
Longford County Council said yesterday that a request by Ms Scallon for support for a nomination would be considered at a meeting next Monday.
The issue may also be debated at a meeting of councillors in Monaghan early next week.
Kerry County Council, which yesterday confirmed to The Irish Times that it had received correspondence regarding a presidential nomination from Ms Scallon, is also to meet on Monday.
Donegal County Council said that it had circulated correspondence from Ms Scallon to councillors yesterday and that they would have up until Friday afternoon to put forward a motion for debate at its next meeting on September 27th.
Councillors in Co Offaly have also been circulated with correspondence from Ms Scallon, as have local authority members on South Dublin County Council.
The cathaoirleach of Fingal County Council, Cllr Peter Coyle, said that it had received correspondence from Ms Scallon yesterday but that it was too late for consideration at a meeting last night.
Cllr Coyle said that at this stage there were no plans for the local authority to hold a special meeting to consider the issue in time to meet the Government's deadline for nominations at the beginning of October.
Cllr Coyle said he believed that the Constitution should be changed to introduce a seven-year term limit for the presidency and that no one should be allowed to seek a second term in office.
However, nearly half a dozen local authorities yesterday told The Irish Times that they had received no communication from Ms Scallon.
These included Dublin City Council, Cork City Council, Dún Laoghaire/Rathdown Council, Kildare County Council, Laois County Council, Kilkenny County Council, Limerick County Council, both the city council and the county council in Waterford and Wexford County Council.
Meanwhile an independent councillor on Kerry County Council has agreed to propose Dana to contest the presidential election in a motion to go before the 27-member council next week, Anne Lucey writes.
Mr Brendan Cronin said he had given Ms Dana Rosemary Scallon a commitment to propose her at Monday's full meeting of the council.
Mr Cronin's father, Mr P.J. Cronin, also independent but now retired, proposed her last time round when she won the support of the council.
"It would be a shame to deny any person the right to stand for election. There is an important job up for decision. It is healthier to have an election," Mr Cronin said.