The respective form of the sides going into the DW Stadium clash pointed to an away victory, with Stoke having won three of their previous four games while the Latics were in the bottom three with just one victory in eight league matches.
The point kept Pulis' side in seventh place, and he is expecting just as tough a battle when Ian Holloway's Blackpool visit the Britannia Stadium next Saturday.
He said: "We mustn't get ahead of ourselves, we mustn't be too glib about picking up points away from home in the Premier League. We're pleased with how we've been doing but it's a tough league. And this year, with the three clubs that have come up collecting so many points, it's a tougher league to stay in than what it's been for the couple of years we've been in it.
"Blackpool will show that on Saturday. We'll most probably have our toughest game. They've been absolutely superb. I think Ian has really rolled the underdog tag brilliantly and he's got his players playing with no fear whatsoever.
"Because it's Blackpool, people think it's going to be a walk in the park. We'll respect them enormously. Every game I've seen them, they've been well in the game and very unlucky at times not to get more than what they've got."
Source: PA
Source: PA