A 62-year-old male and a 37-year old man have been arrested for assault after an alleged incident on Dalshannon Road on Thursday, July 15.
A report has been sent to the Procurator Fiscal.
Meanwhile police are also investigating a spate of vandalism to cars which were parked between Kilsyth's West Burnside Street and Main Street.
A number of vehicles had their paintwork scratched in broad daylight –between 2pm and 7pm on Sunday July 18.
Anyone who witnessed this is asked to contact police on 101 quoting the reference number 2157 – or contact Crimestoppers free and in confidence on 0800 555 111.