Pulis slammed the behaviour of Ivanovic and Chelsea team-mate Oscar after the match, saying their "simulation" had been "laughable".
And he reiterated his criticism on Thursday ahead of Stoke's league match at home to Swansea City this weekend, saying: "I have spoken about simulation before.
"They are really quick to pull people up on incidents that they think are bookable or sending-off incidents, and I think they should pull people up for diving and give them a three-game ban straight away.
"Ivanovic would be looking at three games, Chelsea wouldn't be too happy with him and I don't think he would be diving around any more.
"We just don't think it's right and we encourage the players to be as honest as they can.
"Kights (Stoke winger Michael Kightly) stayed on his feet (in a separate incident) and rightly so.
"We think it is the way to do it -- whatever other clubs do, they do."
Source: AFP
Source: AFP