City have been in imperious form at home this season, winning each of their seven matches at the Etihad Stadium and scoring 29 goals in the process.
But despite continuing to stutter away from home - City have failed to win six of their eight league matches on the road - Kompany maintains a point at St Mary's is not a bad result.
"I thought we started really well," he said. "Afterwards I think Southampton were in the game and were actually in control of the game.
"In the end it was hard-fought and I think any team could have won the game.
"We will look at this and think that we did not get beaten and moving on it was a tough game so wasn't a bad result."
City took an early lead when Sergio Aguero swept home his 11th goal in 10 matches - but failed to make the game safe despite creating a number of first-half-opportunities.
Dani Osvaldo punished the away side with a memorable equaliser just before half-time, but Kompany remained optimistic despite City's inability to take all three points
"Every team should be disappointed if they don't manage to maintain a result," he said. "But it is a very good Southampton team and many teams will lose points here.
"It did feel like a top game, it did feel like we were playing a top side, so for us we take a positive out of the point and if we manage to win the next game then ultimately we will be happy with the draw."
City's next league match is a home clash with league leaders Arsenal.