The Stoke boss was left angry after the Liverpool striker went down without any contact in the box at Anfield, and has called for the FA to look at the incident retrospectively
The Uruguayan forward appeared to go down under minimal contact in an incident in the second half in Sunday's 0-0 draw at Anfield, and made a theatrical attempt to try and win a penalty - something the Potters manager wants the FA to take action against.
"Retrospective decisions are made on a Monday and Luis Suarez should be punished," Pulis told reporters. "The one in the penalty box was an embarrassment and how he wasn't booked I don't know."
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Suarez has been at the centre of diving controversy in recent weeks, with his manager and Liverpool team-mates insisting that his reputation for diving goes against him in many incidents.
"I haven't seen the incident so I can't really comment," Rodgers said. "But whatever Luis does there will always be a problem.
"It gets brought up every week whether it's with the media or the refs, but I thought he was terrific today."