The German and French leaders have arrived in Moscow for talks with Russian President Vladimir Putin.
Angela Merkel and Francois Hollande are promoting a new peace plan designed to end the conflict in eastern Ukraine.
They met yesterday with the Ukrainian President to discuss their proposals.
Meanwhile a truce has been declared in parts of Eastern Ukraine to evacuate civilians.
It follows a meeting in Kiev with Ukrainian President Petro Poroshenko, who said discussions had raised "hope for a ceasefire".
The West sees Mr Putin as the orchestrator of rebels who have taken territory in eastern Ukraine - something the Kremlin denies.
Mrs Merkel and Mr Hollande say their new initiative is "based on the territorial integrity of Ukraine" - though few details have been made public.
Several previous peace deals have collapsed.
Russia's Foreign Ministry said Mr Putin was ready to hold constructive talks with European leaders and Russia would "do everything it can" to help resolve the crisis.
However, the spokesman added that Ukraine was using weapons that had effects similar to those of weapons of mass destruction.
The conflict, which has claimed 5,350 lives, has led to a deterioration of relations between Russian and the West.
US Secretary of State John Kerry also visited Kiev and revealed that President Barack Obama was considering arming Ukraine.
"The president is reviewing all of his options, among those options is the possibility of providing defensive systems to Ukraine," Mr Kerry said.
"The president will make his decision soon but not before he has had a chance to hear back from myself and others."
He added that Washington would prefer a diplomatic solution and that the US backed a "helpful" peace plan Mrs Merkel and Mr Hollande will present in Moscow.
However, Ukrainian Prime Minister Arseniy Yatsenyuk has warned that, in staging talks with European leaders, Mr Putin could be trying to "split the unity between the EU and the US".
Some 220 people have died in the last three weeks following an escalation of the violence.
Separatists allying themselves with Moscow have been fighting with Ukrainian troops as they attempt to set up independent states in the regions of Luhansk and Donetsk.