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Mr Annan said he was in daily contact with a number of governments and was doing what he could in private to explore any possible scope for a political solution to the crisis.
Correspondents say it is likely that if Nato decides to try to contact Serbian President Slobodan Milosevic, it will do so through Mr Annan.
The UN chief has declared himself ready to travel to Belgrade if necessary.
The alliance may also seek the UN's endorsement for a future international military presence in Kosovo.
Unconditional return of refugees
German proposals for a possible 24-hour pause in the bombing campaign to allow Serbian forces to begin a withdrawal have been greeted cautiously by Nato.
German Chancellor Gerhard Schroder said that air strikes would then be permanently called off when it was clear that all Serb troops had been pulled out of the province.
EU leaders did not discuss the plan. However, they did endorse a UN peace initiative announced last Friday calling on Yugoslavia to withdraw its troops, allow the unconditional return of all refugees and accept an international military force.
But UK Prime Minister Tony Blair stressed ethnic cleansing had to be defeated, and seen to be defeated, before Nato action could cease.
Kofi Annan's delicate balance
(13 Apr 99 | kosovo strikes)
UN chief's Kosovo peace bid
(12 Apr 99 | Europe)
Annan slates Serb forces
(06 Apr 99 | Europe)
Analysis: UN left on sidelines
(03 Apr 99 | Americas)
Keep Yugoslav borders open - Annan
(30 Mar 99 | Europe)
Annan gives strikes qualified support
(24 Mar 99 | World)
United Nations
Nato
Serbian Ministry of Information
Kosova Press
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