Danny Ings' strike against former club Burnley gave Southampton a 1-0 victory at Turf Moor.
The only goal of the match came after five minutes when Ings converted Che Adams' cutback from inside the six-yard area.
Southampton maintained control of the first half, with Ashley Westwood's free-kick wide of a post the closest Burnley came to scoring.
Sean Dyche's team escalated their search for an equaliser after the restart, with Chris Wood poking the ball past Alex McCarthy, only for the goal to be ruled out for offside.
Charlie Taylor's fierce strike forced a smart save from McCarthy on 58 minutes but Southampton held firm to claim their first points of the season.
Burnley have lost their opening two matches, conceding five in the process.
Burnley: 3 Oct v Newcastle (A)
Southampton: 4 Oct v West Brom (H)
Referee: Andre Marriner. Assistants: Scott Ledger, Adrian Holmes. Fourth official: Michael Oliver. VAR: Mike Dean. Assistant VAR: Andy Halliday.