Greece Forms anti-bailout coalition
The far-left Syriza party, the winner of Greece's election, has formed an anti-austerity coalition with a right-wing party, the Greek Independents.
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Syriza leader Alexis Tsipras has taken the oath as the new prime minister.
He has vowed to renegotiate Greece's bailouts, worth €240bn (£179bn; $268bn).
European Commission head Jean-Claude Juncker congratulated Mr Tsipras while reminding him of the challenge of "ensuring fiscal responsibility".
"The European Commission stands ready to continue assisting Greece in achieving these goals," Mr Juncker said in a tweet which also referred to "promoting sustainable jobs and growth".
Europe's main share markets also rose - after initial falls - on hopes that a compromise over Greece's bailout terms might be found.
With nearly all of the votes counted in Sunday's poll, Syriza looks set to have 149 seats, just two short of an absolute majority. The Greek Independents are projected to have 13 seats in the 300-seat parliament.
The election result is expected to be one of the main issues at Monday's meeting of 19 eurozone finance ministers.
Sunday's result means that a majority of voters in Greece have essentially rejected a core policy for dealing with the eurozone crisis as devised by Brussels and Germany, the BBC's Gavin Hewitt in Athens says.
The troika of lenders that bailed out Greece - the European Union, European Central Bank, and International Monetary Fund - imposed big budgetary cuts and restructuring in return for the bailout money.
But the man tipped to become the new Greek finance minister, Yanis Varoufakis, told the BBC the austerity regime had been "fiscal waterboarding policies that have turned Greece into a debt colony".
The economy has shrunk drastically since the 2008 global financial crisis, and increasing unemployment has thrown many Greeks into poverty.
On Sunday, Mr Tsipras told jubilant supporters he wanted to write off half of Greece's debt, but was ready to negotiate "a viable solution" and wants the country to stay in the eurozone.
Credit: BBC
