I'm very late to this question, but in situations where someone has broken out bullet points in the midst of a sentence, and you have no option to reword the sentence or remove the bullet points, I recommend that you punctuate as if the sentence had no bullet points at all.
In the poster's example,
However, individuals who are:
- employed by ABC Inc. on a temporary basis (, ; ?) or
- seconded to ABC Inc. by service providers on a temporary basis (, ; ?)
will not be required to comply with the obligations set out in Section 7 hereunder unless their initial contract is for a period of at least 3 months on a full-time basis, or unless the position warrants earlier compliance.
we have what appears to be a beastly long sentence, but if you were to treat it as a single continuous (and unbulleted) sentence, I think you might not see any need to punctuate the phrases that were broken out as bullet points. That is, you might punctuate the sentence as follows:
However, individuals who are employed by ABC Inc. on a temporary basis or [are] seconded to ABC Inc. by service providers on a temporary basis will not be required to comply with the obligations set out in Section 7 hereunder unless their initial contract is for a period of at least 3 months on a full-time basis, or unless the position warrants earlier compliance.
That being the case, I would be inclined to punctuate the broken-out form of the sentence no more heavily:
However, individuals who are
- employed by ABC Inc. on a temporary basis or
- seconded to ABC Inc. by service providers on a temporary basis
will not be required to comply with the obligations set out in Section 7 hereunder unless their initial contract is for a period of at least 3 months on a full-time basis, or unless the position warrants earlier compliance.
The punctuation mark that I would be most tempted to add is a comma after basis and before or in the first bulleted line, but even there I would try to resist, since logically the or doesn't belong in the bulleted item at all but in a separate line:
However, individuals who are
- employed by ABC Inc. on a temporary basis
or
- seconded to ABC Inc. by service providers on a temporary basis
will not be required to comply with the obligations set out in Section 7 hereunder unless their initial contract is for a period of at least 3 months on a full-time basis, or unless the position warrants earlier compliance.
On balance, I think that giving the or a separate line would make the presentation look fussy and silly. The bullets are bad enough when they introduce otherwise unpunctuated text; I wouldn't do anything to make readers dwell even more unnaturally on the broken out language.
The Chicago Manual of Style, 16th edition (2010) has very little to say on this subject (at 6.125 Vertical lists punctuated as a sentence), but it seems to endorse the idea that punctuation should be used only in a way that would continue to make sense if the numbers or bullets of the vertical list disappeared and the list content were run as components of a normal sentence. This is essentially what I've suggested doing above.
