Despite drawing horses that started at long odds, the Oamaru reinsman sat in sixth-equal position after the first two days of the competition, held at Solvalla on Friday and Saturday.
The highlight of Williamson's first four attempts on European soil came when he produced a second placing with Verendi in the third on Friday.
He picked up valuable points, which helped him to a tally of 22 points at the end of day one.
That places Williamson just 11.5 points behind the leader, Mika Forss, of Finland.
Williamson spoke to the Otago Daily Times on Friday and said he was happy with the way he had started the championship.
"I was happy with the way I drove two of my horses.
"In the second heat, I got too far back and should have been a lot closer. Running second in the last heat [on Friday] was great."
The combination of his solid start and experiencing racing in a trotting-mad country meant Williamson was thoroughly enjoying his Swedish experience so far.
"I am loving it over here."
Williamson produced a brilliant drive to finish sixth on a long-shot chance in the only heat held on Saturday.
The reinsman had to quickly adjust to significantly different on-track rules in the competition.
Sweden has tight whip rules that are in stark contrast to New Zealand regulations.
"You are only allowed to use the whip five times in the last 500m of the race. There is no tail-swishing or anything like that; they all count."
The speed-bowl style of track used in Sweden also contrasts with those used in New Zealand.
"The camber on the bends is unreal."
Williamson will have the chance to work his way up the leader board in five heats at Lindeberg today.
