"We really do not agree," Radičová, appointed Slovakia's first female premier last week, said after talks with EU President Herman Van Rompuy.
A three-year bailout package for Greece includes 80 billion euros in loan guarantees from the euro zone in addition to 30 billion euros in aid from the International Monetary Fund.
The minister has also not signed off on the European Financial Stability Facility (EFSF), set up to bailout defaulting eurozone countries, comprising 440 billion euros in debt backed by national guarantees.
Luxembourg's Prime Minister Jean-Claude Juncker, who is head of the group of eurozone finance ministers, met Radicova yesterday to convince het to sign off on the facility.
Radičová said the cabinet would only meet to discuss the issue on Wednesday, meaning she would not be in a position to sign off on the EFSF aid package when European Union finance ministers meet to discuss it on Tuesday.
"I have to discuss this issue at the level of the new government and secondly at the national parliament," she told reporters. "The government will meet on Wednesday and I will open this question."
She said Slovakia also remained opposed to making a contribution to a 110 billion euro EU bailout fund for Greece.
(EurActiv with Reuters.)
