Unseen by match officials, the 26-year-old lashed out at the arm of Serbian in the 2-2 draw at Anfield. Suarez has since been fined by the club while the PFA have confirmed they are to offer the striker anger management counselling.
The FA handed Suarez an eight-match ban in 2012 for racially abusing Patrice Evra, and Suarez has previously received a seven-match ban from the KNVB for biting opponent Otman Bakkal while playing for Ajax in November 2010.
|13/1||Liverpool are 13/1 with BetVictor to lose 1-0 to Newcastle on Sunday
"His reputation for controversy continues to increase when he can be such a good player, one of the world's best, so it is a real dilemma now.
"It's uncalled for, it's not good, it's depressing, it's such a shame for a player who's a really good footballer but this is not the first time that such things have happened. I know it's a really difficult one for Liverpool and the FA are going to have to deal with it.
"There's physical contact, emotions run high but no matter what players these days have to be considered as role models for youngsters."
The Uruguay international is the Premier League’s current top goalscorer with 23 goals and one of six players to be nominated for the PFA Player of the Year award, along with the likes of Gareth Bale, Robin van Persie and Juan Mata.
And and the PFA chief lamented the way Suarez's actions would overshadow his top-drawer performances on the pitch.
He added: "It was such a good game [on Sunday]. Great comeback, but this will take all the headlines.
"It doesn't make it better when things have happened before and they're repeated again. You begin to wonder 'is he going to learn his lesson? Because when his football shines through he's so highly regarded so it's just a big shame."