* Two men agree steps needed for peace - Poroshenko's press office
* No immediate sign on the ground of a halt to fighting (Adds more quotes, reaction, background)
KIEV, Sept 3 (Reuters) - Ukraine's President Petro Poroshenko reached agreement with his Russian counterpart Vladimir Putin on Wednesday on a "permanent ceasefire" in eastern Ukraine's Donbass region, Poroshenko's press office said.
There was no immediate sign on the ground of a halt in the fighting between Kiev's forces and pro-Russian separatists in the mainly Russian-speaking region, which is home to much of Ukraine's heavy industry.
In a statement, Poroshenko's press office said: "As a result of the conversation (between the Ukrainian president and Putin) agreement was reached on a permanent ceasefire in the Donbass.
"Mutual understanding was achieved concerning the steps which will enable the establishment of peace," it added.
Earlier, Putin's spokesman was quoted in Moscow by Interfax news agency as saying the Russian leader and Poroshenko had largely agreed in their telephone conversation on what needed to be done to resolve Ukraine's six-month-old crisis.
The spokesman, Dmitry Peskov, gave no details and made no direct reference to a ceasefire.
Initial reaction from Ukrainian forces was cautious.
"At the moment that journalists told me of a ceasefire, we came under fire twice," Serhiy Melnichuk, commander of the Aidar volunteer militia battalion in the Donbass, told Ukraine's 112 TV channel.
"We have received no orders yet. Russia needs to remove its forces from our territory ... We have to stop this slaughter, we are destroying the nation."
Interfax quoted a leading separatist in Donetsk, the biggest city of the Donbass, as saying the pro-Russian rebels were ready to halt their military operations if Kiev also accepted a ceasefire.
"If the Ukrainian side observes its promises on a ceasefire, we are ready for a political resolution of the process," said Miroslav Rudenko, a deputy in the local assembly of the self-proclaimed "Donetsk people's republic".
According to the United Nations, the war has killed more than 2,600 people and driven nearly a million from their homes in eastern Ukraine.
(Reporting by Pavel Polityuk, writing by Gareth Jones, editing by John Stonestreet)
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