Sweden looked to be heading for a fiasco against Europe's worst side after the first half ended 0-0 despite several good chances and a goal which was disallowed for being offside.
However the sending-off of San Marino defender Davide Simoncini in the 53rd minute for a second bookable offence weakened the minnow side and Swede Kim Kallstrom finally got the scoring going after 64 minutes.
Wilhelmsson got his first goal after 70 minutes and a Martin Olsson goal followed 11 minutes later.
Tobias Hysen took the score to 4-0 after 88 minutes and Wilhelmsson's made it 5-0 in the third minute of extra-time.
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