Classical Latin doesn't distinguish between time of day when using greetings. The most appropriate greeting would be "Salve" (to one person), or "Salvete" (to more than one person).
You would use "Vale/Valete" when saying Goodbye.
If I recall correctly, they are also used to address someone who is dying or who is already dead. This is because both Salve and Vale translate approximately to "be well".
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