A frustrated Djurgården received a match penalty, Arvid Costmar, and a total of 29 penalty minutes in the third period.
Costmar was forced to leave the ice after a cross-checking to the head of Södertälje defender Olli Vainio.
Södertälje forward Carter Souch had to leave the arena in an ambulance after injuring his shoulder in a fight with Djurgården's Colby Sissons, according to Aftonbladet.
Now Södertälje can secure a final spot in the SHL qualifying round at home on Thursday.
It's going to be a damn powerful setting. You have to keep calm, it's first to four, it's far from over and they'll come out damn hungry for revenge, says SSK defender Daniel Norbe.
For the second match in a row, Södertälje managed to shut out series winner Djurgården.
Södertälje flew past Djurgården in the first period and Egor Polin and Amil Krupic took the visitors to a 2-0 lead.
Marcus Eriksson, who didn't succeed in the SHL attempt in Skellefteå, made it 3-0 on a breakaway and teammate Polin became a two-goal scorer when he shot a flutter puck from far out past home goalkeeper Hugo Hävelid.
Hävelid was substituted after two periods and replaced by Viktor Andrén.
In a chaotic third period, Nicolai Meyer could make it 5-0 in 5-on-3 play.
Djurgården's coach Robert Kimby was disappointed.
You don't have to be a space researcher to see that we're way too bad today, he says to TV4 Play.
We get a good beating, but just because we get beaten today doesn't mean it's over yet. There are two matches left and we're going to go there and win the next match, he adds.
