The 29-year-old, from Pewsey, secured second place in the overall standings going into the mid-season break with another podium performance.
Rudman said: "I'm very pleased with the result and starts are getting better."
Marion Thees, of Germany, won for the second time this season, posting the best finish times in both heats for a total time of 1min 51:95sec .
Rudman's totl time was 1:52:28 while Anja Huber, of Germany, was third and leads the series at the break.
The series will resume in Igls, Austria, on January 14-16, where Olympic champion Amy Williams is due to compete for the first time since she won the gold medal in Vancouver in February.
Rudman's fiance Kristan Bromley (pictured) took bronze in the men's race.
The race was won by Russia's 27-year-old Sergei Chudinov, who claimed his first World Cup victory.
Chudiinov won the gold medal in 1:48.51, while Latvia's Martins Dukurs grabbed the silver with a time of 1:48.55 and Bromley at 1:48.74.
December 2010: Exclusive - Williams vows "I'm not done yet" as she pledges return in January
December 2010: Rudman denied gold by superb Huber
November 2010: Montgomery beats Bromley in opening skeleton World Cup