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Traders said they expect sharp losses as a result of pent-up trading and fears about Greece's worsening economy.
Takis Zamanis, chief trader at Beta Securities, is among the pessimists.
"The possibility of seeing even a single share rise in tomorrow's session is almost zero," he said.
"There is a lot of uncertainty about the government's ability to sign the... bailout on time and for possible snap elections."
A report in Avgi newspaper, which is close to the government of Prime Minister Alexis Tsipras, suggested Athens was asking for about 10 billion euros (£7bn) this month for bank recapitalisation.
Banks account for about a fifth of the main Athens index. National Bank of Greece's US-listed stock has fallen about 20% while the Athens exchange has been closed.
One asset manager at a Greek fund said: "The focus will be in the bank shares - they will suffer more because their investors have to face a dilution from the [expected] recapitalisation of the sector."
Greek banks will not be make a profit this year and are suffering from an increase in bad loans due to the crisis, the manager said.
"It would be realistic to expect a decline of about 15-20% at the opening of the market on Monday," he added.
Constantine Botopoulos, head of the Greek capital markets commission, told Skai radio: "Naturally, pressure is expected, markets will not fail to comment on such an extensive shutdown."
He added: "But we must not get carried away. We must wait until the end of the week to see how the reopening will begin to be dealt with more coolly."