The ancient Romans had many festivals, but did any of them celebrate friendship or love? Wikipedia mentions similarity to Lupercalia, but I consider love to be very different from fertility. I'm asking if there was a Roman festival (fully or partially) devoted to emotions between people; the ability to breed is irrelevant for this question. Connection to fertility is fine, as long as there is a pronounced focus on emotion, too.
If there was no such festival, do we know what the Romans would have called such a thing? What would be a good name? The best word I could think of is Amicalia.
The meaning of Valentine's day varies between countries. In the English speaking world it is mainly a day of erotic or romantic love, whereas in Finland it is a day of friendship. Any kind of "Roman Valentine's day" would make a good answer; it can be anything promoting warm feelings between individuals.