Stavros Theodorakis, leader of the centrist To Potami party, will on Thursday meet with the country's President Karolos Papoulias, the party has said in a tweet.
Papoulias, whose term ends in March, held separate meetings with conservative Prime Minister Antonis Samaras and leftist opposition leader Alexis Tsipras on Monday. A day later, Papoulias met with Democratic Left (DIMAR) chief Fotis Kouvelis who has figured as a possible successor.
On Tuesday, To Potami said a snap poll, triggered by a failure to elect a new President, would be against Greece's interests.
“Geostrategic developments mean that the country cannot afford for a single moment to be left at the same time without a government and a President,” it said.
“Parties' behavior in the run-up to the elections will show who is interested in the common good and who is only interested in acquiring power,” it said.
SYRIZA has said it will block the election of a new President in a bid to trigger an early national election.
A recent opinion poll put To Potami on third place with 6 percent, ahead of neo-fascist Golden Dawn and the Greek Communist Party.