Germany is seeking an agreement with EU countries to keep ski resorts closed until early January, in an attempt to curb the spread of coronavirus.
"I will say this openly that it won't be easy, but we will try," Chancellor Angela Merkel said after speaking to Germany's regional leaders on Tuesday.
The news came as the country extended its partial lockdown until 20 December.
Prime Minister Kyriakos Mitsotakis thanked French President Emmanuel Macron for his support, after the latter announced late Wednesday that France would increase its military presence in the eastern Mediterranean.
Mitsotakis described Macron as "a true friend of Greece" and an "ardent defender of European values and international law."