The incident happened after officers were called to the Castle Approach area around 6.50pm.
A report will be to the youth justice authorities and further enquiries into the wider incident are continuing and patrols around the area will be stepped up in a bid to provide reassurance and curb antisocial behaviour.
Chief Inspector Ross Fitzgerald said: “We’re continuing to carry out patrols to provide reassurance and curb antisocial behaviour in the area.
“I would reiterate that disruptive, disorderly, and criminal behaviour is not acceptable. Work is ongoing to ensure those involved are located and identified, with anyone involved in criminality being dealt with robustly and charged in respect of any criminal behaviour committed.
“Parents are encouraged to be aware of where their children are and what they are doing in the evenings. The public will see an increased police presence in the Broughty Ferry area as local officers are supported by those from national divisions, in order to provide reassurance and deter any further acts of antisocial behaviour.”