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"Theoretically, there is a chance to agree local elections in Donbas with Kyiv, but it's too early to talk about the timing," he said.

Yet, Donetsk should hold primaries first, Pushylin added.

On May 23, leader of the DPR Alexander Zakharchenko said that the "republic" would conduct primaries to nominate candidates for local elections as it is stipulated in the Minsk agreements.

Note: A primary is an election in which people in a particular area vote to choose a candidate for a future important election.

Read alsoPoroshenko does not rule out local elections in occupied Donbas this yearAs UNIAN reported earlier, Ukrainian President Petro Poroshenko does not rule out that local elections may take place in the occupied part of Donbas by the end of the year.

The withdrawal of the occupation forces, the restoration of Ukrainian control over the state border and the deployment of an OSCE armed police mission along the contact line are key conditions for the elections in occupied Donbas.