Sinn Féin leader Mary Lou McDonald has again repeated that the party is considering its options on this year's presidential election and will arrive at a decision in a few weeks.
She said a process was under way and there was more work to do.
Asked whether she might run, Ms McDonald said "all options are on the table".
On possibly supporting Independent TD Catherine Connolly, Ms McDonald said the party had not decided whether to run its own candidate or to back somebody else and she said "good luck to her".
Ms Connolly confirmed that she will formally declare her candidacy next week and the campaign was already "taking shape".
She was speaking at a Sinn Féin rally in central Dublin billed as a demonstration to "save" the GPO.
Ms McDonald said the historic complex should not be given over to retail.
Meanwhile People Before Profit's steering committee has agreed to endorse Ms Connolly for President.
"Catherine Connolly is a popular, principled figure on the left and we are pleased that she has put herself forward as a candidate. We welcome that the Social Democrats have also given their support to Catherine and we urge others on the left to join her campaign," TD Paul Murphy said.
"We believe that an imaginative campaign in support of Catherine, articulating a radical, progressive vision, and with the energetic backing of the parties of the left, can build a powerful momentum to achieve an important victory."
