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Masked thugs attacked victims with a machete in a Sainsbury's car park.
At around 6.50pm on Wednesday a fight broke outside the store in Crayford Road, Crayford.
Police were told the thugs crashed into a man's car before getting out and attacking him and others with the large blade.
Witnesses said the suspects were wearing masks and drove off before officers arrived.
One victim was treated for minor injuries at the scene.
No arrests have been made but the Met Police is continuing inquiries.
It has asked people with information to report it to Crimestoppers anonymously through their online form or on 0800 555 111.
People can also call in on 101 or tweet @MetCC quoting CAD 6298/15FEB.