Zlatan Ibrahimovic proved to be the hero for the away side with two second-half goals, including one from the penalty spot.
Andreas Granqvist was sent off late on for the visitors, but Sweden were able to hold on for their second victory of the campaign.
Find out how all of the action unfolded courtesy of Sports Mole's live minute-by-minute coverage below.
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SWEDEN: Isaksson, Bengtsson, Granqvist, M. Olsson, E. Johansson, S. Larsson, Ekdal, Kallstrom, Erkan Zengin, Ibrahimovic