The head of the eurozone finance ministers, Jean-Claude Juncker, has dismissed suggestions that Greece may be forced out of the euro as "nonsense and propaganda".
Speaking in Brussels tonight, Mr Juncker maintained that the question of Greece leaving the single currency was not even mentioned once at tonight's Eurogroup meeting.
Mr Juncker said eurozone finance ministers had an "unshakeable desire" to keep Greece in the euro and they would do everything possible to ensure this happened.
EU partners had already granted Greece €148bn of loans, and Mr Juncker stressed that "this is not the time to relax" on budgetary consolidation and reforms.
However, he did not "preclude" the possibility that Greece could somehow be given breathing space once negotiations on the implementation of the €130bn bailout deal agreed in March can begin with the new administration in Athens.
That idea was already rejected by German Finance Minister Wolfgang Schaeuble.
He said beforehand that "it's not about generosity towards Greece".
The alternative, increasingly forecast by analysts and now being broached even among EU political partners, that Greece abandons the euro was on the minds of all attending the talks.
Spanish Foreign Minister Jose Manuel Garcia-Margallo, at separate talks of chief diplomats in Brussels, had stressed that membership of the eurozone depended firmly on "complying with the rules of the game."
Noonan urges Greece to honour commitments
Earlier, Minister for Finance Michael Noonan said Ireland does not want to see Greece exit the euro.
However, he warned that any new coalition in Greece should stick to its commitments under the EU-IMF rescue programme.
"I'd encourage (Greek political parties) to form a government that's pledged to implement the programme with whatever variations are necessary. I would like Greece to stay in the euro. It's very important that the eurozone stays intact."
He would not speculate on the implications for Ireland if Greece were to exit the euro. But he said that events in Greece had posed a "salutary lesson" for the Irish electorate.
Mr Noonan said Taoiseach Enda Kenny's reference to a stimulus package ahead of the fiscal treaty referendum was based on work done at a bilateral level on options for growth during meetings with German Chancellor Angela Merkel and later the Italian prime minister Mario Monti over the past number of months.
He said the objective to have a demand stimulus got a strong fillup from the French elections.
Speaking in Brussels, Mr Noonan said any proposal to lend support to Spanish banks in a way which did not convert bank debt into public debt could be "interesting" from an Irish point of view.
He said that such a proposal could offer a parallel for Ireland in relation to the Anglo Irish promissory notes.
Mr Noonan said IMF chief Christine Lagarde had raised the idea that any support for Spain should be for the banking sector and that any aid would not be transferred across onto sovereign debt.
"She seemed to be outlining a new IMF policy position. We would watch it with great interest," he said.
He said the source of the funding would be European and not IMF.