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International Money Fund (IMF) boss Christine Lagarde has warned there is "no period of grace" for Greece over a debt repayment deadline.
She said Greece would be in default on its loans from the IMF if it failed to make a €1.6bn (£1.1bn; $1.8bn) payment on 30 June.
Her comments came as European finance ministers were meeting in Luxembourg.
German Chancellor Angela Merkel said earlier she was "still convinced" that a Greek debt deal was possible.
Cash-strapped Greece now has less than two weeks left to reach a debt deal, having already rolled a €300m payment into those due on 30 June.
If it fails to make the payment, it risks having to leave the eurozone and possibly also the EU.
But the European Commission, the IMF and the European Central Bank (ECB) are unwilling to unlock bailout funds until Greece agrees to reforms.
They want Greece to implement a series of economic changes in areas such as pensions, VAT and on the budget surplus before releasing €7.2bn of funds, which have been delayed since February.
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Zoe Konstantopoulou, speaker of the Greek parliament, said the debt was illegal and odious
On his way into the Luxembourg meeting of Eurogroup finance ministers, Greek finance minister Yanis Varoufakis said he would be presenting new plans.
He said: "Some time ago, [ECB president] Mario Draghi said quite correctly for the euro to succeed anywhere, it must succeed everywhere.
"Today we are going to present the Greek government's ideas along those lines. The purpose is to replace costly discord with effective consensus."
In another development, Greek Prime Minister Alexis Tsipras denied allegations that elderly Greeks were receiving lavish pensions.
Writing in the German newspaper Der Tagesspiegel, he said: "The problem is not one of supposed generous pensions. The most significant disruption to the pension funds is due to dramatically lower revenues in recent years.
"These were caused by... the sharp drop in contributions that resulted from soaring unemployment and the reduction in wages."
'Commitments'
In her statement to the German parliament, Mrs Merkel said Germany was working hard to keep Greece in the euro, but said Athens had to follow through on reform commitments.
"I'm still convinced - where there's a will, there's a way," she said.
"If those in charge in Greece can muster the will, an agreement with the three institutions is still possible."