Both sides cancelled each other out in a game of few talking points, with an apparent dive from Luis Suarez likely to dominate Monday's newspaper headlines.
But Pulis revealed he was satisfied with his team's performance, even if an away win over the Merseysiders remains tantalisingly out of his grasp.
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"The first 20-25 minutes I thought we had the best chances and the best of the game and then they came into it and second half we had to defend resolutely but still looked dangerous on the break.
"They’re a good group [the defence]. The people in front of them aren’t bad either, the back four get all the praise but from Crouchy all the way through the midfield they work their socks off. It’s a good group, they’re a very together group and we’re pleased with a point."
Striker Michael Owen was left out of Stoke's matchday squad having failed to recover from a slight groin injury.
Pulis revealed the former Liverpool man was excited by the prospect of returning to Anfield, but insisted it was not worth the risk selecting him.
"Michael has worked hard this week", Pulis added.
"It’s probably the hardest week he’s had in a long time. He just felt his groin on Saturday and I didn’t want to take the chance. He wanted to come but I didn’t want to take the chance."
Finally, when asked about Suarez's apparent dive in the Stoke penalty area, Pulis replied: "I’ll leave that for you to write, lads", before walking out.