He told Sky Sports 1: “I think the first 45 minutes was the best football we have played so far this season. We had good movement, scored great goals. It was the best the team can play.
“We learnt from the Leicester game where we were 2-0 up but we’re defending better. Opponents will always give a reaction and you have to deal with that.”
Southampton were on the front foot from the off and deservedly took the lead as Steven Davis scored his second goal of the season, with Graziano Pelle soon doubling their advantage before Bournemouth came back into the game after the break.
Victor Wanyama was dismissed with 10 minutes remaining having collected two yellow cards but, despite their dominance and numerical advantage, the visitors could not force a save out of Maarten Stekelenburg until the latter stages.
Bournemouth boss Eddie Howe felt his side were punished for their poor first-half showing.
Howe said: “The second half was everything we wanted the first half to be, but unfortunately we were well off the pace in the first 45 minutes and (that) made it very difficult for us.
“But it was the complete reverse in the second half, but the only thing missing from our performance was the goals.”
Howe added: “Technically I think we showed we can compete at this level, our passing and movement proved that. We need to stick to our strengths and eradicate our mistakes.”
Stekelenburg, Cedric Soares, Fonte (Yoshida 46), van Dijk, Bertrand, Wanyama, Clasie (Romeu 71), Steven Davis, Mane, Tadic (Ward-Prowse 80), Pelle.
Kelvin Davis, Juanmi, Ramirez, Caulker.
Federici, Smith, Francis, Distin, Daniels, Ritchie, Surman, Gosling, Pugh (Stanislas 46), Arter (Tomlin 73), Murray (King 46).
MacDonald, Kermorgant, Allsop, Cargill.
Craig Pawson (South Yorkshire).