The Russian finished in 1:57.93 in what was her first appearance at Moscow's Luzhniki Stadium in a decade.
The meet was a test event before the world championships at the stadium next year, and Savinova delighted the crowd.
Tameka Williams of St. Kitts and Nevis won the women's 100 in 11.19 seconds.
Cornelius Kangogo finished in 7:59.89 to lead the Kenyan sweep in the men's 3,000m.
Russia's Svetlana Shkolina won the women's high jump, while Przemyslaw Czerwinski won the men's pole vault.
Pavel Trenikhin of Russia won the men's 400 in 45.51 seconds.
The last time the stadium hosted a major track and field event was a Grand Prix final in 1998.