The Scottish FA Compliance Officer Tony McGlennan is to review comments made by both Hearts head coach Robbie Neilson and Inverness manager John Hughes.
Neilson blamed referee Willie Collum for Hearts 3-2 defeat to Hamilton Academical, saying the official wrongly sent-off Callum Paterson.
John Hughes criticised referee Andrew Dallas after the 1-1 draw at Dundee.
He said Dallas brought an "edginess and a nervousness" to the game and wasn't "ready to referee top flight football".
Collum sent off Hearts' defender Paterson for a challenge on Darian MacKinnon with the visitors leading 2-1.
Neilson disputed the red card and even claimed he was expecting one of his players to be sent off when he found out who the officials were.
"The game has been ruined by a decision that is not a sending-off," he said.
"We are sitting 2-1 up and we get a red card against us that I don't think is a red card and it totally changed the flow of the game.
"We actually practised during the week going down to 10 men because of the environment we're coming to and the officials who are taking the game and we have to do that.
"In the recent past, the statistics involving the officials have shown a lot of red cards against us, so we have to prepare for it.
"The next time we get these officials, we will again train with 10 men."