Police were called to break up a fight between two groups of about five men and women from Orange while a family day event was been held in Robertson Park on Sunday.
Central West Police District Chief Inspector Dave Harvey said police attended the park about 3pm after people phoned and went to Orange police station to report the scuffle.
He said police told the two groups to disperse and they left the park.
MAP: Where the fight broke out ...
Chief Inspector Harvey said police were continuing their investigations into the incident and into whether any of those involved would be charged with offensive behaviour.
He appealed for any witnesses or people with phone footage of the incident to contact them.
The Fusion Easter festival was held in the park from noon on Sunday.
However, it is not known whether the people involved in the fight were attending the festival.
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