The United States has warned that any unilateral intervention by Russia, including in the form of a humanitarian mission, would be considered an invasion.
Shelling meanwhile continued in the rebels' main eastern stronghold of Donetsk, which has become the new battleground in the four-month conflict between Ukrainian government forces and eastern separatists.
An AFP journalist heard repeated shelling in the city throughout the morning. Local authorities said mortar fire hit neighbourhoods north and southwest of the centre, and one person was killed.
The Red Cross also announced it was stepping up its aid activities in Donetsk and the second main insurgent bastion of Lugansk where local authorities have warned of a looming humanitarian catastrophe with many residents left without water and power for days.
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A top official from Ukrainian President Petro Poroshenko's office revealed late yesterday that Kiev had managed through diplomatic channels to halt a Russian convoy, including troops and military hardware, advancing towards the border under the guise of a humanitarian mission.
The Red Cross acknowledged that it had received an offer from Moscow to organise aid convoys, and would welcome any effort to ease civilian suffering in the region, but denied that any such action had taken place.
NATO says Russia has 20,000 troops along the Ukrainian border, fuelling fears that Moscow could send them into its former Soviet neighbour.
US ambassador to the UN Samantha Power on Friday slammed Russian proposals to set up humanitarian corridors to east Ukraine.