The incident took place on September 10 at Da Luciano in Bothwell, Lanarkshire, following Rangers’ 5-1 defeat to Glasgow derby rivals Celtic.
The 36-year-old former Scotland striker is reported to have been at the restaurant with his wife.
A Police Scotland spokesman, said: “A 36-year-old man has been arrested and is subject to a report to the procurator fiscal in connection with this incident.”
The Crown Office confirmed the case is under review.
A spokesman said: “The procurator fiscal at Hamilton has received a report concerning a 36-year-old male in connection with alleged incidents on September 10, 2016.
“The report remains under consideration.”
A Da Luciano spokeswoman refused to comment.