Olli Rehn, the EU Commissioner in charge of economic and monetary affairs, confirmed that the stress tests indicated Slovenia will not be seeking an international bailout.
"Today it is clear that Slovenia can proceed with the repair of its financial sector without turning to her European partners for financial assistance," Rehn said in a statement from Brussels.
Slovenian Finance Minister Uros Cufer said the government decided to privatize the largest state bank, Nova Ljubljanska Banka, while keeping 25 percent of its share. The second largest, Nova Kreditna Banka Maribor, will be completely sold.
A country of 2 million people, Slovenia was once an Eastern European model of economic success. It has been in recession for the past three years and only a slight economic recovery is expected in 2015, when the public deficit is set to fall below the 3 percent of GDP threshold set by the EU.
The eight troubled banks at the heart of Slovenia's financial crisis are estimated to be nursing about 8 billion euros in bad debts.
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Associated Press correspondent Dusan Stojanovic contributed from Belgrade, Serbia.