Brewster, second 12 months ago, again took the tournament favourites to an extra end, just as he had in Saturday's page 1v2 play-off game.
But once again Glenn Howard's rink, who have only lost once all week, in a dead-rubber against New Zealand, proved too strong, winning 8-7.
Brewster did have a chance to win it in the final end, down one and looking at a tap back of a Canadian rock to score two, he was too heavy, eliminating his own rock and taking just one.
Although he tried to take heart from the loss, praising his team-mates Greg Drummond, Scott Andrews and Michael Goodfellow for their commitment to the cause in Basle.
However, experienced Howard, 49, was more consistent this week and he wins the fourth world title of his career - a quarter of a century after his first.