Police are investigating after a disturbance in Albion Road, Bridgewater about 4.40 pm on Thursday.
Two men aged 29 and 26 years, who are believed to be known to each other, sustained knife injuries and were treated by paramedics.
Police are yet to elaborate on the circumstances on how the injuries were caused.
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Detective Inspector Craig Joel said police do not believe the attack was random and there is no ongoing threat to the wider community.