http://edition.cnn.com/2014/09/03/w...html?hpt=ieu_c1

Talinn, Estonia (CNN) -- Ukrainian President Petro Poroshenko and Russia's President Vladimir Putin have agreed to a ceasefire in eastern Ukraine following a phone call Wednesday, Poroshenko's office said.

The move could be a significant step toward ending the conflict in eastern Ukraine, where Ukrainian forces have been battling pro-Russia rebels who Kiev and the West say are supported by Moscow.

"The result of the conversation was an agreement on a full ceasefire in Donbas [eastern Ukraine]. They also reached mutual understanding on steps that would lead to peace," said a spokesman for Poroshenko.

However, a spokesman for Russian President Vladimir Putin cast doubt on Ukraine's reading of the call, saying that Russia could not agree to a ceasefire as it is not party to the conflict.

"There is no confirmation of a ceasefire because Putin cannot agree a ceasefire because he is not party to the conflict," Putin spokesman Dmitry Peskov told CNN.

"What was agreed were steps that would lead to a ceasefire. The important thing is to bring an end to the bloodshed and to stop the firing. Everyone is trying to deescalate the conflict."

No more details or time frame of the apparent deal were made available.

Russian state news agency Itar-Tass quoted Peskov as saying after the conversation that the two leaders' views on ending the crisis "largely coincide."

"The heads of state exchanged their views on top priority measures for stopping the bloodshed in that country's south-east, and [Putin's] view on possible ways out of this crisis situation largely coincides with that of the Ukrainian president," Peskov is quoted as saying.

Putin has consistently argued that Russia has no say over ending the conflict because it is not involved in the conflict on the ground.

But U.S. and NATO officials say that in recent days Russia has sent troops and heavy weaponry into Ukraine, as well as training and arming the rebels over the course of weeks.