The England back-up keeper produced 11 stops in all, including a save of the season contender early on, as the Clarets looked to frustrate their opponents.
Charlie Austin did find a way through early in the second half against his former side, before adding a second from the spot after seeing Nathan Redmond also add his name to the scoresheet, making Sam Vokes's penalty redundant for an under-par Clarets.
Relive how the 90 minutes of action unfolded with Sports Mole's live text coverage below.
SOUTHAMPTON XI: Forster, Martina, Fonte, Van Dijk, Targett, Romeu, Davis, Clasie, Tadic, Redmond, Austin
BURNLEY XI: Heaton, Ward, Mee, Keane, Lowton, Marney, Defour, Gudmundsson, Hendrick, Boyd, Vokes
SOUTHAMPTON SUBS: McCarthy, Yoshida, Long, Rodriguez, Ward-Prowse, Hojbjerg, McQueen
BURNLEY SUBS: Flanagan, Kightly, O'Neill, Bamford, Robinson, Tarkowski, Arfield
© Getty Images
Claude Puel: "I prefer to lose this [clean sheets] record and win the game, it's not important for me. It's not just the defence, for me it's important to consider it as the work of all the team - midfield and offensive players also."
Sean Dyche: "We have to be intent on doing what we do and have belief in what we do and so far we've had a solid start to the season. We want that to continue, though we're obviously aware it's a tough place to go."
SOUTHAMPTON SUBS: McCarthy, Yoshida, Long, Rodriguez, Ward-Prowse, Hojbjerg
BURNLEY SUBS: Flanagan, Kightly, Bamford, Robinson, Tarkowski, Arfield
© Getty Images