The Saints dominated possession but failed to make it count as they missed a number of glorious opportunities.
Dusan Tadic had the first, and best, chance of the match early on. Ryan Bertrand got clear down the left and pulled the ball back to Tadic five-yards out from goal, but the Serbian sent his close range effort wide.
Southampton had multiple strong penalty shouts throughout the game, with referee Mike Jones denying all claims.
Alfie Mawson and Kyle Bartley both clearly handled the ball in the area in the first and then second half but a case could be made for them being accidental.
Another big shout came when Federico Fernandez chopped Tadic down from behind just inside the box, with Jones waving play on.
Picking a man of the match has been hard, with three players standing out for me; Cedric, Stephens and Romeu.
Our Southampton man of the match against Swansea is… Jack Stephens!
The central defender dealt with the threat of Tammy Abraham exceptionally well and played the ball out from the back with composure and quality.
Romeu and Cedric were close but Stephens just edged it for me. Stephens has been excellent throughout pre-season and deserves to be playing regular Premier League football.
If Southampton were to sign Kevin Wimmer, as has been reported in the last few weeks, Stephens should be the one to partner the Austrian this season.