Taoiseach Enda Kenny has welcomed the movement on the Greek crisis and has said there might be a further package of aid for Greece later this year to which Ireland would have to contribute.
Speaking on his way into Government buildings the Taoiseach said "we have great empathy with the people of Greece".
He said all disputes end up around the negotiating table, but while negotiations were going on at the eurozone meeting the Greeks pulled out.
He added the opportunity to go back to the table remains.
Asked about Mr Tsipras's letter requesting the Irish Government's support on a month-long bailout extension, Enda Kenny said he has had calls from some European leaders who said they would not be able to get motions through their parliament to give Greece the bailout extension.
During Leaders Questions Micheál Martin told Enda Kenny he excepted the Greek government was acting irresponsibly and playing Russian Roulette with its people.
He said Enda Kenny had damaged his own credibility by falsely claiming his Government had succeeded in emerging from the bailout without raising income tax or vat.
Gerry Adams said Enda Kenny had railed against debt forgiveness in Greece while approving it at home.
The Taoiseach told Mr Adams a solution would only be found if Greece returned to the table, hinting at a third bailout for Greece.
"At the end of the year there may well be a requirement if it gets that far, for a further programme" he said.
Meanwhile, Minister for Public Expenditure and Reform, Brendan Howlin said the Economic Management Council were briefed last night by the Governor of the Central Bank and the head of the NTMA on the possible implications of a Greek exit.
He said the Government has been considering this for some time but are still hopeful Greece will come back to the negotiating table.
Asked what the implications are for Ireland, he said everything is fluid at this time but the Minister for Finance said we are in "uncharted waters".
Fianna Fáil leader Micheal Martin has said the situation regarding Greece should have been avoided and represents a a failure in diplomacy.
He said there does not appear to be too much between the two sides. He said there are no easy answers, but Greece was making progress.
Asked if he would be in favour of giving Greece a one-month extension to their bailout programme, he said Fianna Fáil would say to get back around the table.
He said they were taken aback by the Taoiseach's comments regarding increases to income tax, PRSI and VAT. He said Mr Kenny was living in a bubble.
Sinn Féin accuses EU/IMF of 'putting the boot in'
Sinn Féin has accused the ECB and IMF of being involved in a regime change in Greece.
Speaking on RTÉ's Morning Ireland, Sinn Féin Finance Spokesperson Pearse Doherty said the institutions wanted to remove the government of Mr Tsipras because they did not like his approach to lenders.
He said the fact that Greece's request that the bailout be extended until a referendum is held, was "shunned," shows that democracy instils fear in the Eurogroup, ECB and IMF.
Mr Doherty said Syriza had compromised last week by putting forward proposals involving over €8bn of austerity measures but said this was not good enough for European institutions and governments, who he accused of wanting to "put the boot in."