Social Democrats deputy leader Cian O'Callaghan said his party's "red lines" were not intended to rule them out of being in government with Fianna Fáil or Fine Gael.
He told reporters at the election count centre at the RDS in Dublin: "We are hoping to be transfer-friendly and a lot of the contests we're in are going to be for final seats, and we hope to get transfers from all directions."
He added: "The reason we picked five deal-breakers was to define how we want to go into government. It wasn't to rule us out of government, it was to show people what we want to do if we do get into government.
"So this is about defining our negotiations and talks with the parties once the election counts are over."
On a common platform for left-wing parties to negotiate from, Mr O'Callaghan said: "We certainly intend on talking to the Labour Party and other parties over the coming days and weeks, that's our intention."
Social Democrats candidates Aidan Farrelly and Rory Hearne are well-placed to retain former Social Democrats co-leaders Catherine Murphy and Róisín Shortall's seats in Kildare North and Dublin North-West, according to tallies.
In Limerick City, a final tally suggested local councillor Elisa O'Donovan could snap up the fourth seat.
Ms O'Donovan was one of the candidates impacted by an error on the Limerick City ballot paper, which saw candidates with surnames beginning with 'O' appearing below the 'Q' candidates. If the final vote is very close, it is possible that the result could be challenged.
Meanwhile in Cork South-Central, Pádraig Rice was placed fourth in the five-seat constituency following the first count there.
Sinead Gibney in Dublin Rathdown and Jen Cummins in Dublin South-Central are also all potential chances for the Social Democrats to win new seats.
