The remarks came a day after European Union leaders gave Russia a week to reverse course in Ukraine or face a new round of sanctions.
Russia has previously only called for greater rights under a decentralised federal system to be accorded to the eastern regions of Ukraine.
The meeting came as Ukraine said its forces had captured 10 Russian soldiers in eastern Ukraine.
Ukraine’s security service said that 10 Russian paratroopers were captured near the Ukrainian village of Dzerkalne.
The law allows Ukraine to stop the transit of goods across its territory,
It was not immediately clear when the trucks would arrive at the border or whether Ukrainian officials would allow them to pass.
A spokesman for Ukraine’s National Security and Defense Council said that the convoy is not certified by the Red Cross.
At least 300,000 of the city’s 1 million residents have fled as violence escalates.
The West accuses Russia of supplying fighters and weapons to fuel the insurgency in eastern Ukraine.
Lungescu reiterated that Russia had to halt all such support and withdraw all its military forces on the border.
The figure excluded people who would normally have crossed the border for trade or tourism purposes.
Clash broke a brief lull that had reigned around the site after Ukrainian authorities ordered a ceasefire.
The agreements allow the two countries to dispatch “military and non-military” personnel to the scene.
Government security spokesman Andriy Lysenko said that separatists “have mined the approaches to this area”.
The UN says at least 1,129 people were killed between mid-April, when fighting began, and July 26.