Pulis was incensed by a blatant dive by Suarez toward the end of the game and again demanded the issue of simulation be looked at.
He said: "I thought Suarez again ... I've been on about people falling over and the one incident in the second half ... it's an embarrassment being a professional footballer (and doing that).
"He's a fantastic player, he's got great ability and he is the one player we were frightened to death of, but doing things like that...
"Retrospective decisions are made today by the FA and they should be looking at this. Give him three games and he will stop falling over.
"What happens is that he puts pressure on the referee and every time he goes down you've got 40,000 Liverpool fans getting after the ref and I don't think that's right.
"I don't know how many times he has fallen over but the one in the penalty box is just an embarrassment and how he has not been booked I just don't know.
"I am concerned about the simulation. For professional footballers to be doing that is just not right and the PFA should start talking about it."
Liverpool manager Brendan Rodgers insisted he had not seen the Suarez incident, saying: "Whatever Luis does there will always be a problem, whether it's media, referees or whatever."