Prime Minister Antonis Samaras has said the country will start running out of money by the middle of the month, so the clock is ticking.
"It all looks very fragile," said Neil MacKinnon, global macro strategist at VTB Capital.
Earlier in Asia, Japan's Nikkei 225 index advanced 1.2 percent to close at 9,051.22. Hong Kong's Hang Seng rose 1.3 percent to 22,111.33 and South Korea's Kospi gained 1.1 percent to 1,918.72.
Oil prices gave up most of the previous session's gains â¿¿ benchmark oil for December delivery fell 50 cents to $86.59 per barrel in electronic trading on the New York Mercantile Exchange.