Greek Prime Minister George Papandreou is facing calls from prominent members of his ruling party to resign, according to a report by state-run Athens News Agency.
Bloomberg says six senior members of Papandreou's center-left Pasok party have called for him to step down, citing the ANA report.
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The six members of the Pasok national council reportedly sent a joint letter to Papandreou saying that Greece needs a government with political legitimacy.
"The country urgently needs a politically legitimate government, a plan for a national revival," ANA quoted the letter as saying, according to Reuters.
The call to resign comes a day after Papandreou said there would be a referendum on the proposed second EU bailout deal, the BBC notes.
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Papandreou's call for a referendum is considered risky because failure by Greeks to approve the bailout may push the country into default. It is also likely to rattle investors and European governments.