Dusan Tadic's second half penalty gave Saints three points.
It also keeps their unbeaten away start to the Premier League season going, making it six matches without defeat on the road.
• Sunderland 0-1 Southampton - in pictures >>
• Sunderland 0-1 Southampton - as it happened >>
• Sunderland 0-1 Southampton - match report >>
• Sunderland 0-1 Southampton - Koeman's comments >>
Daily Echo photographer Stuart Martin was at the Stadium of Light to bring you a gallery of images.
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