Recent attacks in Transnistria have sparked concerns among Western officials that the breakaway region or Moldova could be pulled into the war against Ukraine.
Moldova said the attacks in Transnistria are an attempt to destabilize the region from pro-war forces within the territory.
The spate of explosions comes days after Russian Major General Rustam Minnekayev spoke of creating an "exit" to the breakaway Moldovan territory.
Last week, a Russian commander said that the breakaway republic could be a focus for Moscow's war in Ukraine.
The Ukrainian president used Easter imagery in his video address as he told Ukrainians "we believe in the victory of life over death."
"We are now at war with the whole world," said Russian Major General Rustam Minnekayev.
The U.S secretary of state said, "There is broad consensus among all the NATO members that there is no normalization of dialogue with Russia today."
The president told two geography-studying schoolboys that 'Russia's borders end nowhwere.'
The region has been a breakaway strip of land since 1990.
Moldova's eastern region of Transnistria is held by pro-Russia separatists.