The buyback was one of the conditions of the financial aid approved by euro zone finance ministers and the International Monetary Fund last week and comes as German Chancellor Angela Merkel appears to be softening her stance on conditions for a bailout, saying her country may accept a write-off of Greek debt.
"If Greece one day can rely once again on its own revenue, without having to borrow, then we'll have to look at this situation and make an evaluation," Merkel said in an interview with Germany's Bild newspaper.
Equity markets were generally higher in Europe though they pared gains after an unexpectedly weak US manufacturing report. The Stoxx Europe 600 Index rose 0.1 per cent, Germany's DAX 30 climbed 0.4 per cent and France's CAC 40 rose 0.3 per cent.
"If Greece can manage the buyback and get a new tranche of aid, then the Greece problem will be out of the way until the end of 2013," Philippe Gijsels, head of fixed-income research at BNP Paribas Fortis in Brussels, told Bloomberg.
Manufacturing in the US unexpectedly contracted last month. The Institute for Supply Management's factory index fell to a three-year low of 49.5 in November from 51.7 in October, surprising economists who had expected manufacturing to expand. Manufacturing in the euro zone was also weaker, shrinking for a 16th straight month for a reading of 46.2.
Stocks on Wall Street weakened after the manufacturing data. The Dow Jones Industrial Average was recently 0.3 per cent lower, with manufacturers such as DuPont and General Electric leading the decline. The Standard & Poor's 500 Index was down 0.1 per cent.
Adding to America's economic woes, Fitch Ratings said warned that the US$607 billion of tax increases and federal spending cuts that kick in on Jan. 1 are the biggest threat to the credit rating of US states in 2013.
"The risk that the fiscal cliff presents to the overall economy is the biggest concern for state credit, as state revenue systems quickly reflect changing economic conditions," Fitch managing director Laura Porter said in a statement yesterday.
US Treasury Secretary Timothy Geithner told CNN's State of the Union that Republicans will "own the responsibility for the damage" to the US economy if they don't cede ground and agree to tax hikes for the wealthiest Americans.