It seemed like another tale of wasted chances in defeat was playing out for Amakhosi, after Samukele Kabini's header had given Galaxy a first-half lead.
But substitute Happy Mashiane's corner cannoned back off the bar.
And with Galaxy keeper Ira Tape out of position, Chivaviro poked home to make it 1-1.
It was Amakhosi's defence that was busier than the home side's in the first-half.
Centre back Inacio Miguel had a good first couple of games in a Kaizer Chiefs shirt, but has since served two separate suspensions.
And the Angolan was worryingly shaky in Mbombela.
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