The Swedes took the lead as early as the fourth minute through Rusul Kafaji, who struck a shot from outside the penalty box that hit the back of the net.
The hosts looked to strike back as Sumati Kumari looked to prove dangerous down the left flank. But the visitors were not to be troubled. However, Sweden extended their lead in the 16th minute following a corner - Rusul's corner being headed in by skipper Elma Nelhage.
Two minutes later, the Swedish girls added a third through Evelina Duljan, who raced down the right flank, got into the box and shot across to score.
In the 20th minute the away side threatened again through Monica Bah, who latched on to an aerial through ball and ran into the penalty area. She fired in a powerful shot but India keeper Manju Ganjhu was equal to it - diving low to thwart it.
Changing over, India created the first attack. Wing back Jyoti Kumari curled in a cross from her flank that evaded an onrushing Lynda Kom and was collected by the Swedish custodian Elin Svahn.
Manju was called into action once again a few minutes from the hour mark as she saved a low shot from the left side of the penalty area, which was eventually cleared away for a corner.
In the 61st minute, Sweden earned a penalty kick for a foul inside the box but the resulting effort was skied over the bar by Matilda Vinberg.
The European side, though, made it four through Monica as she met a cross from the right and the ball hit the post and went into the goal.
( With inputs from IANS )