Skip Mouat had sat out the previous two games through illness and said: “I thought I might have lost the momentum having those two games off, but I thought I threw pretty well in practice.
“I was glad to be back and there were a few misses by Sweden that let us off the hook.”
In the women’s event, Scotland secured their fourth win, against Norway, but sit sixth going into their final game against Sara Messenzehl’s Germany with only an outside chance of qualifying for the semi-finals.
Skipped by Sophie Jackson, they picked up four unanswered points over the first three ends against Marianne Roervik’s rink and finished strongly to see out a 8-5 victory.
Ranked second in this event, the Scots have also beaten Lithuania, Denmark and the Czech Republic, but losses to Turkey, Sweden, Italy and Switzerland mean they are requiring favours from other rinks to make the final four.
With Anna Hasselborg’s Swedes already qualified with seven wins, Denmark, Norway and Switzerland are all on five wins, one ahead of the Scots.
Jackson said: “That win was really important for us as we want that world qualification spot and that’s what we’re focused on now.
“I sadly had some news yesterday that my grandad passed away. It’s actually changed the mood in the team a little. We are just doing everything for each and make it the best time we can out there.”