Liverpool striker Suarez could be facing sanctions from his club after admitting in a television interview to deliberately "falling" in an attempt to win a penalty in the 0-0 Barclays Premier League home draw with Stoke in October.
They were comments Reds manager Brendan Rodgers described as "unacceptable".
Uruguay international Suarez, who neither earned a spot-kick nor was punished for his actions at the time, was the subject of fierce criticism from Pulis after the match, with the Welshman branding Suarez's conduct "an embarrassment" and calling on the FA to hand him a three-match ban.
Pulis had already spoken out on the issue of simulation earlier in the season and when asked about it again on Thursday afternoon in relation to the Suarez situation, he said: "They should look at it on a Monday after the games have been played at the weekend, and people who have been caught simulating should be punished.
"I think if you do that - if you give them three, four or five games or whatever - then it will take it out of the game.
"With simulation, I think if a player is found blatantly diving to gain an advantage, whether it is a penalty or conning a referee into giving a decision, they should be dealt with very severely.
"What you would find is that it would soon stop, and that is what we all want, because it is, on a lot of occasions, cheating."
- Sports & Recreation