Mauricio Pellegrino was almost helpless as he stood at the sidelines and watched what was an incredibly frustrating afternoon for his side who failed to convert numerous efforts and can only hold themselves accountable for not opening their Premier League campaign with a win.
The Saints had two good opportunities in the opening five minutes alone, firstly through a Ryan Bertrand corner from the right in the first minute that found Manolo Gabbiadini but he glanced his header off the angle of the post and bar.
Dusan Tadic had a great chance to put Southampton ahead just three minutes later after another Bertrand cross found the Saints man under no pressure but the striker then somehow side-footed wide.
Tadic, like many others of his team, had multiple efforts on the Swansea goal but when his moment came calling again with ten minutes to go it was Lukasz Fabianski who stepped in to deny him as he made an excellent save from a 25-yard piledriver.
James Ward-Prowse had a similar attempt in the first half from the same range but he wasn't able to find the target with the ball just going over the bar.
Maya Yoshida had an opportunity to head the hosts into the lead late on when he found himself unmarked at the back post but he also missed the target.
Tadic again went close with seven minutes remaining but curled the effort over the bar to cap off a bitterly frustrating afternoon for him and his side while Swansea will know they left St Mary's having stolen a point.