@HDGD No problem, do you mean the phrase "on the verge"? I don't use this phrase very often but I'm aware of it:
"Scientists are on the verge of making a new discovery." (scientists are extremely close to making a discovery) "Many animal species are on the verge of extinction." (many species are extremely close to becoming extinct)
We use this phrase to emphasize that something is extremely close to happening. Usually the "something" is quite important too, but not necessarily:
"The poor child is on the verge of crying." (the child is extremely close to crying). For this one, we even have a common saying - "The child is on the verge of tears."
The grammar is always "... on the verge of (something).
I'm not a grammar expert, so I don't really know the correct grammatical terms, but these examples are very common.
Hopefully this is the phrase you were thinking of? Please let me know.
@HDGD Ah, haha, I had to check Google. Now I see the phrase you're talking about, and yes it's related to the examples I gave you, but its grammar is a little different. "The scientists are verging on a new discovery." "Many animal species are verging on extinction." "The witness is verging on contempt of court." "That colour is really dark, it's verging on black."
So it still means "getting extremely close to" something. And the grammar appears to be "verging on" a noun, or noun phrase. So today I learned something new in English!!