Former referees Howard Webb and Keith Hackett have called for retrospective action to be introduced to stamp out diving.
Hull winger Robert Snodgrass apologised after his side's 3-3 draw with Crystal Palace at the weekend, admitting the incident that led to the hosts' controversial opener was "never a penalty."
Tottenham Hotspur midfielder Dele Alli had also appeared to dive to win a penalty in his side's 5-0 win over Swansea City the previous weekend, with manager Mauricio Pochettino saying afterward that the culture of simulation is now established in English football.
Webb, now working as a pundit for BT, told The Times: "Retrospective action would definitely deter players from diving. Snodgrass was on a yellow card and should therefore have been sent off, but usually the risk versus reward is not equal.
"If a player is running into the box with five minutes left and his side need a goal, he knows that the worst that can happen for a dive is a yellow card. The benefits are a penalty and vital points for his team."
The Premier League has been holding trials with video assistance for referees and Webb said: "In the future, decisions as clear as this could be the first to go to a live video referee. That would be much fairer to Crystal Palace, who wouldn't benefit from retrospective action, but with videos still in the trial stage the FA can step in.
"I think that any retrospective action should be more severe than the yellow card a player receives on the day. The logic is that if you dive and are not punished you have conned the referee, helped your team to earn points unfairly and the opposition have suffered."
Hackett, the former head of Professional Games Match Officials Ltd (PGMOL), wrote in the Daily Telegraph: "Last week, Dele Alli deceived referee Jonathan Moss by diving to win a penalty for Tottenham against Swansea. This weekend, it was Mike Jones who was duped after incorrectly awarding a penalty to Hull City following an outrageous piece of simulation from Robert Snodgrass in their game against Crystal Palace.
"Dives, if spotted, are subject to a yellow card but sadly referees are failing to detect these infringements and it is causing an unacceptable level of inconsistency, with wrong decisions having a damaging effect on the image of the Premier League."
He warned that the problem is "cascading down into grass-roots football as junior footballers take their lead from professionals" and urged the authorities to take action.
He added: "There were reports a few years ago that the FA wanted to introduce retrospective bans for players who dived using video evidence but that the proposal was blocked by the Premier League, Football League and the Professional Game Match Officials Ltd, the referees' body.
"If that was the case then those stakeholders have done the game a great disservice. I cannot understand why they would oppose such a measure unless their statistics told them this was not a serious problem.
"We regularly see players going to ground easily in an effort to deceive the referee. Their decision not to follow the Scottish FA by taking retrospective action is, frankly, a disgrace. We are seeing referees repeatedly making errors and players getting away with it."