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Which of the two is correct? Or are they both.

In which cases would one be preferred over the other?

Edit 1: Context I made other adjustments. Adjustments which included leaving my car at home parked. On one of such days, I see it from . . .

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Lacking context, I would think the second is the correct one, but I could construct a sentence with the first version too – mplungjan Jul 4 '13 at 12:20
They're both "valid", but on one such day is far more common than on one of such days (by about 15:1 in Google Books there). I'm not sure any specific context favours the latter. – FumbleFingers Jul 4 '13 at 14:57
I'm not convinced that "on one of such days" is a valid alternative for "on one such day" - a Google search for {"on one of such days" - "on one of such days as"} shows an insignificant number of hits. – Edwin Ashworth Jul 4 '13 at 16:26
Without knowing the context, I would suggest "one of those days", as in "It's been one of those days". – TrevorD Jul 4 '13 at 16:28
@mplungjan: context now added, hopefully it now clearer. – artfullyContrived Jul 5 '13 at 6:30
up vote 1 down vote accepted

One of such is not commonly used as a compound determiner with the meaning 'one of the type just specified'. This claim is supported by the results of Ngrams for "one such X,one of such X's" where X = opportunity, problem, day, task... . Care has to be taken with a raw Google search to filter out false positives like 'one of such problems as tend to occur in this type of research' where the compound determiner is one of NOT one of such. A Google search for "on one of such days" - "on one of such days as" shows an insignificant number of hits.

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