Öberg was after the first shot outside the top 20, but managed to turn it around.
The pursuit starts work, it doesn't matter how far down I am and turn, I manage to solve it somehow. Suddenly I'm going out as second on the sprint lap, then it's just a matter of biting down, says Öberg.
The Frenchwoman Lou Jeanmonnot won convincingly, with one miss in the competition.
Going into the day, the German Franziska Preuss led the overall World Cup.
In the pursuit, Preuss finished fifth, which means that only five points separate Jeanmonnot and Preuss in the hunt for the overall title.
Thus, a real thriller awaits in Sunday's mass start to determine the winner of the two in the World Cup.
It's very exciting, they impress. You have to train on your own so you can be there next year, says Elvira Öberg about the stars' duel.
Hanna Öberg was the third fastest of all on the track, but with six misses, she finished 18th.
Johanna Skottheim finished 26th with one miss, Anna-Karin Heijden took 45th place with five misses.
On the men's side, the overall World Cup was decided earlier in the day, when Sturla Holm Lægreid won and secured the overall title on home soil.
Next, the mass starts await on Sunday.