However, the Foxes boss believes his side should have more points on the board and is looking to head into the worldwide break with a positive result at Bournemouth.
Bournemouth, despite being on top, were snatching at the chances they did create, with a game being played where the nerves of both teams after poor starts to the season was clear to all.
Junior Stanislas was the next to come close, firing a low shot from outside the area that Schmeichel got down well to hold.
Leicester, although not conceding any huge chances, had nothing going on in the other half and it wasn't a surprise to see Mahrez warming up before the first-half was done with.
An uncharacteristically quiet Jamie Vardy thrashed wide late on for Leicester, which was a fitting end to a game desperately lacking in quality.
The draw left Bournemouth next to last and Leicester one place outside the relegation zone.
Harry Arter is facing a race against time for Ireland's upcoming World Cup qualifiers after being ruled out of Bournemouth's Premier League clash with Leicester City this weekend.
Leicester struggled to get a foothold in the match and King wasted another good opportunity for Bournemouth after being set up by Pugh who then blasted an eight-yard shot over the bar.
The Cherries host Leicester this afternoon with just three points and are second bottom of the table following five defeats from their opening six league matches.