Greece may need further support from their partners at the end of the year, when the European part of their current program of financial assistance finishes, said a senior official of the Eurogroup.
"It looks like a completely clean start (the last bailout program) is highly unlikely and we have to explore what options there are," he said, noting the cause of the volatility in the markets in recent weeks.
Greece has received two successive bailouts since 2010, with a total value of 240 billion euros, but has not yet fully recovered.
The aid granted by its European partners concludes later this year, while the contribution of the International Monetary Fund (IMF) completed during the first quarter of 2015.
On Thursday, the Greek finance minister, Gikas Hardouvelis, must explain to their counterparts in the euro area in which conditions the Greek economy is.
Based on his account and the findings of a new troika mission to Athens, the Eurogroup should define the output path of the Greek rescue program.
The latest tests conducted by the European Central Bank (ECB) to financial institutions of the commonwealth showed problems in three of the four major Greek banks.
Two of them-the National Bank of Greece and Eurobank- need a recapitalization of almost three billion euros.
According to the source, the Eurogroup could decide to use for it the Hellenic Financial Stability Fund (HFSF), a reserve of 11.4 billion euros created as a cushion for the recapitalization of Greek banks.
"No matter which is chosen, it will be a formal contractual relationship between the EU and Greece," said the senior official.
