Police have been asked by the Scotland's prosecution service if they intend to look at Colin Hendry's actions in the closing moments of the match against San Marino.
The Bolton defender was seen to elbow San Marino substitute Nicola Albani in the throat during a jostle in the penalty box during the World Cup qualifier.
The player spent the night in the Glasgow's Victoria Infirmary, but was released on Thursday morning.
A Crown Office spokesman said: "The Procurator Fiscal in Glasgow has contacted Strathclyde Police and asked if they intend to submit a report in relation to the incident.
"This is in line with the Lord Advocate's instructions to chief constables regarding incidents which take place during sporting events."
Meanwhile, Hendry has released an apology for his actions via the Scottish Football Association.
"There was no intent to injure the player who held on to me," he said.
"I am deeply sorry if he suffered any injury, and there was no malice on my part.
"I was focusing on the ball, he was holding on to my shirt and I was trying to get free.
"In domestic football, in these circumstances, a player holding on will let you go, but he kept holding on. He was behind me and at the time I did not know which part of him I hit.
"When I went into the press conference at the end of the match it was easy for people to condemn me when they had the advantage of seeing replays. I tried to explain what I thought had happened."