"EDF submitted a set of technical and commercial proposals to support the construction of two EPR1200 units and alternatively one EPR unit in Slovenia", the group said in a statement.
EDF has been in talks with Gen Energija since 2019, it said.
The group is also trying to sell its EPR reactors to Poland and the Czech Republic and is discussing potential offers with several other European states as they seek to become more self-sufficient in power supply and reduce carbon emissions.
In its statement issued on the occasion of the World Nuclear Exhibition in Paris, EDF said it also signed cooperation agreements with several Polish firms to 'deepen the relationship with the Polish industry'.
A cooperation memorandum with Italy's GIFEN, Ansaldo Nucleare and the Associazione Italiana Nucleare was also signed, EDF said, in view of reinforcing supply chains for reactor projects 'in France and Europe, including potentially in Italy.'
State-owned EDF -- the centerpiece of France's planned nuclear renaissance announced by President Emmanuel Macron -- is currently gearing up to finance and realise the construction of at least six new reactors at home.
It is also planning to build new reactors in Britain, after having built EPR reactors France and China - grappling with massive delays and budget overruns in both places.