Fetching details from the dictionary...

to meet (by chance); to come across; to run across; to encounter; to happen upon
to meet (e.g. of rivers, highways, etc.)
to emerge and engage (an enemy)
旅先で素晴らしい人に出逢った。
I met a wonderful person during my trip.
この本に出逢えて人生が変わった。
Encountering this book changed my life.
雨が降りそうな空の下で出逢う。
We meet under a sky that looks like it might rain.