With Greece's economy gasping for air, the authorities extended an eight-day bank closure amid fears cash machines in the country were running dry.
Read more from our special coverage on "GREECE CRISIS"
The European Central Bank, which has been keeping Greek lenders afloat, meanwhile announced it would maintain its liquidity lifeline to Greek banks, but made it harder for them to access the funds by tightening collateral terms.
"The door is open to discussions," said French President Francois Hollande after crisis talks in Paris with German Chancellor Angela Merkel.
"It is now up to the government of Alexis Tsipras to make serious, credible proposals so that this willingness to stay in the eurozone can translate into a lasting programme."
Premier Tsipras is to unveil his government's proposals on Tuesday at a hastily-arranged emergency summit of the 19 eurozone countries in Brussels.
Merkel, speaking alongside Hollande, said the conditions for a new Greek rescue package "have not yet been met."
"And that is why we are now waiting for very precise proposals from the Greek prime minister, a programme that will allow Greece to return to prosperity," said Merkel, adding that eurozone countries had already shown "a lot of solidarity with Greece".
As Athens awoke after a night of celebration after the 'No' camp won a closely-watched referendum on bailout terms, Greece's firebrand finance minister, Yanis Varoufakis, announced he was stepping down to try to ease friction with creditors.
Varoufakis had infuriated European counterparts by lashing demands for economic reform and welfare cuts as "terrorism" and "fiscal waterboarding".
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