Pardew was send to the stands for the incident, which occurred while Meyler was trying to retrieve the ball once it went out of play during the Magpies' 4-1 win over Hull.
According to The Independent, Pardew responded to Souness's criticism by saying: "It's a bit strong coming from him. He's the man who took a flag and planted it in the middle of an Istanbul derby. But people have their own opinions, I can't do anything about that."
The 52-year-old, who was fined £100,000 by the club, is expected to discover today whether he will face any punishment from the Football Association for his actions.