The national team included Anastasia Bliznyuk, Polina Orlova, Angelina Shkatova, Alisa Tishchenko and Maria Tolkacheva.
The overall result of the Russian national team for five appearances with the ball, three with a hoop and two with clubs was 88.350 points.
The Italians finished second with 86,000 points.
The third are Belarusians (85,400 points).
Dina and Arina Averin will perform for Russia in the individual all-around.
Earlier it was reported that the Italian national team took the lead in the group exercises at the 2021 World Cup.