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Athens' benchmark ATG equity index, which hit three-year lows on Thursday, rose 1 percent, although the ATG remains down 17 percent since the start of 2015.
The Athens Stock Exchange FTSE Banks Index also advanced by 3 percent.
Greek Prime Minister Alexis Tsipras said in a statement on Friday that there would be a solution to the Greek debt crisis that will allow the country to return to growth while staying in the euro zone.
Euro zone leaders will hold an emergency summit on Monday to try to avert a Greek default after bank withdrawals accelerated and government revenue slumped as Athens and its international creditors remain deadlocked over a debt deal