After three losses in a row, the odds were stacked against the Scots as they faced off against Niklas Edin’s rink in Canada, with the Swedes having won their eighth world title in Las Vegas last year,
But Mouat and co held their nerve to run out 6-5 winners, sealing an excellent triumph with the final stone of the match.
A tight, cagey affair saw Scotland lead 3-2 at the halfway stage but Edin's Swedes proved a tough nut to crack, with a 2-0 score in the ninth end tying things up at 5-5.
But Mouat hit the mark with the final stone to seal a dramatic victory.
Meanwhile, Japan also came out on the right side of a thriller to make it five wins from six outings, Tatsuro Matsumura’s rink defeating South Korea 8-7.
Things were much more straightforward for Italy, who humbled Norway 10-4.
Morning Session, Day 8
Second Session, Day 8
Third Session, Day 8
Free Practice 1 - Portugal