Hi Ravioli,
It would have been a "near hit" rather than a "near miss"!
Hence any such incidents are now called Airproxes - as in aircraft in proximity to each other.
If there has been something to cause concern, it will have been reported and the Airprox board will now be gathering evidence. Having filed a couple of Airprox reports myself, I can tell you that this phase may take weeks or months.
Aircraft do very often fly pretty close to each other: think of photos of aircraft landing on parallel runways at LAX, or even an aircraft landing while another waits only a few metres off the edge of the runway to enter for departure!
It is all about everyone knowing what is going on.
In aviation, we are all keen on learning from mistakes too. So if there has been a situation where someone has felt there might have been any danger, the matter will be raised and it will be investigated.
Expect any report - if indeed an Airpox report was filed - in about six months.