The latest bid to resolve the worst East-West standoff in the post-Cold War era comes after Russian leader Vladimir Putin called US President Barack Obama on Friday to discuss a diplomatic resolution.
The two men met in the lavish residence of the Russian ambassador to France seeking to hammer out a plan to end the crisis sparked when Moscow sent troops into Ukraine's Black Sea peninsula after the pro-Kremlin regime in Kiev fell in February.
But he called on Western powers today to back a proposal for Ukraine's Russian-speaking regions to have greater powers in a "federal" and neutral Ukraine.
"If our Western partners are ready, then Russia, the United States and the European Union could form a support group on Ukraine," Lavrov told Russian state television.
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This would lead to talks between "all Ukrainian political forces without exception, naturally excluding armed radicals," and would end in a new constitution allowing for a "federal structure" with greater regional autonomy, he said.
However the Ukrainian foreign ministry called on Moscow to stop preaching to its western neighbour.
"We would like to urge Russia, before it presses its ultimatums on a sovereign and independent nation, to take note of the catastrophic state and complete powerlessness of its own ethnic minorities, including Ukrainians," it said in a statement.