The Russian region Rostov, bordering Ukraine, declared a state of emergency Saturday citing growing numbers of people arriving from separatist-held areas in Ukraine after they received evacuation orders.
"Given the trend of an increasing number of people arriving, we consider it appropriate to introduce a state of emergency," the Rostov region's Governor Vasily Golubev said in a meeting, according to Russian news agencies.
The leaders of two pro-Russian separatist republics in eastern Ukraine on Friday ordered civilians to cross the border into Russia, accusing the Ukrainian army of preparing to try and retake the regions by force.
The conflict in eastern Ukraine erupted in 2014 when Moscow-backed rebels broke away from Kyiv and Russia annexed the Crimean peninsula. Some 14,000 people have been killed in fighting since then.
The current head of Russia's emergencies ministry said some 400 people, as well as 150 vehicles, were involved in operations to receive people arriving from the separatist territory.
Emergency services in the Donetsk separatist region said earlier Saturday that just over 6,600 people have been evacuated.
State-run news agency RIA Novosti reported that those crossing checkpoints were being offered medical and psychological support.
Meanwhile, the Lugansk region reported 25,000 people had left on their own accord and convoys were readying to take out an additional 10,000 people.
Russian President Vladimir Putin ordered his government late Friday to give evacuees 10,000 rubles (about 100 euros).
Kyiv has repeatedly denied any plans to regain control of separatist-held areas by force.