Late Wednesday, EU President Herman Van Rompuy of Belgium postponed it by more than two hours.
Herman Van Rompuy, president of the European Council, welcomed the result of the referendum.
European Union leaders Jose Manuel Barroso and Herman Van Rompuy were among those present.
European President Herman Van Rompuy is due to meet Greek leader Antonis Samaras on Thursday.
But a big role in the negotiations will be played by European Council President Herman Van Rompuy.
The prime minister met European Council President Herman van Rompuy on Thursday morning, before formal talks began.
The aim, as the European Council President Herman Van Rompuy said, was "to make the euro an irreversible project".
Mr. Putin attended the dinner, along with European Commission President Jose Manuel Barroso and European Council President Herman Van Rompuy.
European politicians, including European Council President Herman Van Rompuy and European Commissioner Jose Manuel Barroso, have also cancelled their trips.
In the end, finance ministers were largely bystanders as others, including European Council President Herman Van Rompuy, negotiated the final deal.
The President of the EU, Herman van Rompuy, said "the EU stands ready to offer its assistance in any possible way".
It is being left to Herman Van Rompuy, president of the European Council, to find a compromise and avert a breakdown.
Herman Van Rompuy called the meeting after disagreement over the contribution of banks and other private investors to a second rescue package.
The President of the European Council Herman Van Rompuy has defended her.
The President of the European Council, Herman Van Rompuy, has suggested a budget that would be 75bn euros less than the Commission.
Mr Blair was touted for president of the European Council, a post created in 2009, but this eventually went to Belgian Herman Van Rompuy.
BBC: Tony Blair: I'd have done better than Brown in 2010 election
Mr Cameron met European Council President Herman Van Rompuy and European Commission President Jose Manuel Barroso in Brussels on Friday before flying to Berlin.
It would be a bigger cut - an estimated 200bn euros - than the proposal put forward by European Council President Herman Van Rompuy.
The prize was received jointly by European Council President Herman Van Rompuy, European Commission President Jose Manuel Barroso and European Parliament President Martin Schulz.
He met Herman Van Rompuy and Jose Manuel Barroso at the White House in a discussion that covered US-EU trade ties, foreign aid and cybersecurity.
Fixing European budgets remains a messy, bare-knuckled fight, but Herman Van Rompuy, the President of the European Council, will argue that he delivered a deal.
The President of the European Council, Herman Van Rompuy, and the President of the Commission, Jose-Manuel Barroso gave a cautious welcome to Mr Erdogan's victory.
Senior officials in Brussels say a more precise description of the "veto" is that Herman Van Rompuy, who chairs the summits, closed off further discussions.
The President of the European Council, Herman Van Rompuy, said he was proud, that the prize recognised the bloc's role as the "biggest peacemaker in history".
BBC: Nobel Peace Prize: Surprise in Brussels at award for EU
European Council President Herman van Rompuy announced the agreement, seen as a concession by German Chancellor Angela Merkel, after a marathon late-night meeting in Brussels, Belgium.
In her bilateral meeting with the President of the European Council, Herman Van Rompuy, Irina Bokova underlined areas where UNESCO and the EU can build strong partnerships.
The president of the European Council, Herman Van Rompuy, told the Dutch that a rich country should find it easy to make cuts worth 1.5% of GDP.
Diplomatic sources say that Herman Van Rompuy has the best chances of becoming President, while the British Foreign Secretary, David Miliband, is tipped as High Commissioner.
Last night over dinner the President of the Council, Herman Van Rompuy, pulled from his case a brochure illustrating the refurbishment of a building for the European Council.
Today it was the turn of the President of the European Council, Herman Van Rompuy, to say that "after three years of firefighting, patience with austerity is understandably wearing thin".
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