If a Pokemon is encountered when it's almost midnight and caught the next day, when is its "met at" date?

Question

Please don't question my curiosity.

Comments

Any specific gen in mind?

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So you meet it before midnight? Then met at will be the day before you finish the battle

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For all generations that record the date

Answer 1

Because I don't have any games from Gens 6 or 7, I was only able to test this for Gens 4 and 5 (in HeartGold and White, respectively). For both games, I found that the "met at" date is the date that the Pokémon was caught, not encountered. ie, the "next day".

Comments

Should be good enough.

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I just tested this on Moon: get an encounter at 11:55, hold off on throwing a Quick Ball until 12:05, and it gets credit for the new day in its summary.