Jeroen Dijsselbloem, the head of the Eurogroup, has said he expects a letter with fresh proposals on financial aid will arrive from its new finance minister "quite quickly"
He said that everyone shares "a great sense of urgency" and that "we all know how very difficult the situation in Greece is".
He added: "Tomorrow morning we will have another conference call to talk about this letter, with a formal request for support and that will for me be the signal to start the process."
The Greek Prime Minister Alexis Tsipras is currently meeting the German Chancellor Angela Merkel and the French President Francois Hollande, ahead of tonight's emergency summit of eurozone leaders.
Maria Sharapova has reached the Wimbledon semi-finals for the fifth time in her career with a three sets victory over Coco Vandeweghe.
The Russian overcame her American opponent 6-3 6-7 (3-7) 6-2 and will play either Serena Williams or Victoria Azarenka in this week's last four.
Sharapova is bidding for her sixth grand slam and the first since her victory over Simona Halep in last year's French Open final.
The 28 year-old's only Wimbledon title to date arrived back in 2004 when she shocked Serena Williams less than three months after celebrating her 17th birthday.
The Greek government says it will "maybe" submit a new aid proposal to ts European creditor on Wednesday, according to a senior eurozone official.
"They say they will submit a new request and outline of proposals maybe tomorrow," the official, who spoke on condition of anonymity, told Reuters.
A tweet from Joseph Muscat, the Prime Minister of Malta, mentioning "the absence of a concrete proposal" seems to confirm the reports.
Greek Prime Minister Alexis Tsipras, meanwhile, is due to address the European Parliament on Wednesday, a Greek government official has said.
One of the men killed by lightning strikes on the Brecon Beacons last Sunday has been named as 51-year-old Jeremy Prescott, from Telford.
The other victim has not yet been named, Dyfed Powys Police said in a statement.
Novak Djokovic has booked his place in the Wimbledon quarter-finals after completing his comeback against Kevin Anderson.
World number one Djokovic won the match 6-7 (6-8) 6-7 (6-8) 6-1 6-4 7-5 to book his place in Wednesday's last eight against Marin Cilic.
The reigning champion had fallen two sets behind against the big-serving South African, but levelled the fourth-round match when fading light brought play to a halt on Monday evening.
When play resumed today, the final set went with serve until Djokovic broke at 5-5, and the Serbian held on to win the deciding set 7-5.
The Duke of Cambridge will join survivors and the families of those killed in the 7/7 attacks at a memorial service at Hyde Park today.
This live event has now ended.