What version of the engine is being used?
(Not fishing for warez users.)
If A7 is being used, if a bug exists in the engine, correction might still be possible.
However, if A7 is being used, and that is declared, there will be no attempt to reproduce the issue here, in the near future.
(A6.60 is used here.
Use of A6.50 is not recommended, but indeed, there are plenty of bugs in 6.60 that probably won't be removed, ...ever.)
The white ball has no skin?
Was a skin assigned to it?
Quoting KojaK.
These models were not UVed
Certainly, the models have some sort of UV mapping.
(white ball)
The problem is, it's becoming visible randomly.
I set up a function to make one model at 0,0,0 every frame,
Strange results might not be unexpected in that case.
@MadMark
Perhaps, 'you' are a "Maya PLE" user also?
Maybe the issue can only be newly produced easily, with a model exported via a certain exporter?
Actually, although, visible with skin in MED, one model in the library is seemingly completely white in the engine, regardless of several attempts to correct.
It was a free model submitted by another party.
Is there a small sample project available where some of the issues might be observed 'live'?