At around 9.05pm on Friday, February 2 emergency services were called to a report of a disturbance on Burnhill Street.
Three male youths, two aged 17 and one aged 16, were taken to hospital for treatment.
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Their conditions are not known.
One of the 17-year-olds has been arrested and charged in connection with the incident.
An investigation is underway to established the full circumstances.
A Police Scotland spokesperson said: “We were called around 9.05pm on Friday, February 2, to a report of a disturbance in the Burnhill Street area of Rutherglen.
“Emergency services attended and three male youths, two aged 17 and one aged 16, were taken to hospital for treatment.
“One of the 17-year-olds has been arrested and charged in connection and enquiries are ongoing to establish the full circumstances.”