The Liverpool striker faces sanctions from Reds boss Brendan Rodgers after admitting to deliberately "falling" to try and win a penalty during the goalless draw at Anfield in October.
A furious Pulis hit out at Suarez following the game, branding the Uruguay international "an embarrassment" and calling on the FA to impose a three match ban.
After Suarez's admission of guilt, Pulis said: "The FA 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."