Local media website Ural56.ru in the Orenburg region showed footage of distressed relatives at Orsk airport, where the plane was due to land.
Andrei Odintsov, the mayor of the city of Orsk, told Russian state television that six psychologists and four ambulances with medics are working with the relatives in the small airport.
Orsk is the second biggest city in the Orenburg region, near Russia’s border with Kazakhstan.
Russia has suffered numerous plane crashes, with airlines often operating ageing aircraft in dangerous flying conditions.
A light aircraft crashed in November in Russia’s far east, killing six people on board.
In December 2016 a military plane carrying Russia’s famed Red Army Choir crashed after taking off from the Black Sea resort of Sochi, killing all 92 people on board.
The choir had been due to give a concert to Russian troops operating in Syria.
Pilot error was blamed for that crash.
In March 2016, all 62 passengers died when a FlyDubai jet crashed in bad weather during an aborted landing at Rostov-on-Don airport.