The emergency services rushed to the High Street crossing with Bedford Road around 9 pm last night (April 10).
A man was found stabbed and transferred to the hospital and two men later touched the hospital.
None of his injuries is life or changing.
Later, the police arrested three under suspicion of murder attempt in relation to the incident.
Clafam High Street is still closed after 13 hours by a police cord under the railway bridge while an investigation is being carried out.
The stabbing occurred near Clafam North Underground and Clafam High Street Overgy Stations, which remain open.
Clafam High Street is closed south between Bedford Road and Aristotle Road.
A spokesman for the London ambulance service said: “They called us at 9.09 pm on Thursday, April 10 for reports of a stabbing at the crossroads of Clafam High Street and Bedford Road, SW4.
“We send resources to the scene, including ambulance equipment, a paramedic in a fast response car and an incident response officer.
“We also send a trauma team in a car from the London air ambulance.
“Our first paramedic arrived in four minutes.
“We treat a man on the scene and take him to an important trauma center as a priority.”
A with the spokesman said: “If you saw something or have information, call the police at 101 indicated by CAD7355/10apr.
Alternatively, you can communicate with the independence beneficial organization Crimeppers at 0800 555 111 or visit CrimeToppers-UK. “
