The meeting, held in Berlin, ended with a score of 22:22.
The Russians leveled the score in half a minute before the end of the match. The most productive player of the Russian team was Timur Dibirov, who scored eight goals.
In the fourth round, wards of Eduard Koksharov will meet with Brazil on January 15.
World Championships are held in Germany and Denmark.
Earlier, the Russian team defeated the combined team of Korea in the World Cup handball match.