Greek leaders have been struggling to form a new coalition for the past eight days, but with little success.
A failure to form a government would mean Greeks would have to vote again in less than two months.
Opinion polls show the anti-austerity Radical Left party, known as Syriza, leading the polls, and if they win the country could be pushed out of the eurozone.
Al Jazeera's Nadim Baba takes a look at what that would mean.