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Russia and Belarus are traditional allies, but relations have become strained since Russia annexed Ukraine's Crimea peninsula in 2014, a move that Lukashenko has described as a "bad precedent".
Moscow and Minsk are in a dispute over the price that Belarus pays for imports of Russian gas, and over a reduction in the volumes of crude oil that Russia ships to Belarus.
Peskov, on a regular conference call with reporters, said the disagreements between Minsk and Moscow over trade would be on the agenda for the April 3 meeting.