After ten rounds played in Calgary, the position was seven equal in the meeting with Switzerland and it took an arbitration round to separate the teams - and there the Swiss had the last stone.
The Swedes were facing the final stone with two stones in the nest, but Benoît Schwartz could easily place his stone closest to the center and take home the entire match.
Next, team Edin meets US team John Shuster, at 5 pm on Easter Eve Swedish time.
The men's curling world championships in Calgary, Canada, take place April 2-11.
The World Cup is the first in two years since the World Cup in nearby Lethbridge in 2019 when Sweden's team Niklas Edin defeated Canada's team Kevin Koe in the final.
In addition to skipper Niklas Edin, the Swedish team consists of Oskar Eriksson, Rasmus Wranå, Christoffer Sundgren and the reserve Daniel Magnusson.