With the SPL and Rangers struggling to prevent singing of the 'Famine Song', the Scottish Football Association is set to become involved. President of the SFA, George Peat, will have talks with the police and the Scottish Premier League over the issue.
"At the minute, we've left it in the hands of the SPL to look into things and try to eradicate it," Pleat told BBC Sport.
"We know that clubs have tried hard. Listening to it again at the weekend, it would appear that there's still some way to go.
"Obviously, it's got to be stamped out and we'll be having a meeting soon with the SPL and the police to see what we can do about it."