Police vehicles were pelted with bottles and stones before the start of an Easter commemoration organised by the 32 County Sovereignty Movement in Derry.
A petrol bomb was also thrown at a PSNI landrover during the event, which otherwise passed off peacefully.
Unlike previous years, there was no statement read by masked paramilitaries.
Sinn Féin was described as a Unionist party and there was criticism of Martin McGuinness, who was described as an “irrelevance”.
One of the speakers was Dermot Ryan, brother of Alan Ryan who was shot dead in Dublin last year.
He spoke on behalf of republican prisoners in Maghaberry prison in Co Antrim.
A PSNI spokeswoman said two verbal warnings were issued to those taking part in the "illegal procession".
She said: “While the event passed off without incident it was extremely concerning to see children, some of whom looked to be under the age of ten, throwing stones at police vehicles.
“It is a sad indictment on those who organised and were in attendance that this was allowed to happen."
Around 200 people attended the rally.