"We want to keep good dialogue, good relations with the Russian people," Ukraine's interim Foreign Minister Andriy Deshchytsya said after meeting his French counterpart Laurent Fabius.
"We want to settle this conflict peacefully. We don't want to fight with Russia."
Fabius added: "The position of France, which is shared by Germany and others, is to be very firm with Mr Putin, on the one hand, and, on the other, to move towards dialogue.
Deshchytsya is hoping to have a face-to-face meeting with Russian Foreign Minister Sergei Lavrov, who is due here later in the day, but that has not been confirmed.
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Deshchytsya and Fabius met ahead of a pre-arranged international meeting on Lebanon which Lavrov was due to attend along with US Secretary of State John Kerry and the foreign ministers of Britain, France and Germany, among others.
Lavrov is due to have a bilateral meeting with Kerry.
"We will see if they (the Russians) accept to discuss it," Fabius said.
The Franco-German plan is a tweaked version of one which was discussed last month after violent clashes in Kiev between the authorities and pro-European demonstrators, Fabius said.
It envisages a national unity government, a pullback of Russian forces, the dissolution of extremist militias and moves to organise a presidential election as quickly as possible, he added.