Synonyms of 'near thing'
You can say that there is a near miss when something is nearly hit by another thing, for example by a vehicle or a bomb.
There was a near miss when the jets' flight paths almost crossed.
a narrow escape(informal)
I can't quite believe the close shaves I've had recently.
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Thesaurus for near thing from the Collins English Thesaurus
an event or action whose outcome is nearly a failure , success , disaster , etc