Godan verb with 'u' ending, Intransitive verb
to meet fortuitously; to meet by chance; to happen across
あの人と巡り会えたのは、一期一会なのでしょうか。Our meeting like that is probably the kind of thing that only happens once.
Also written 巡り会う【めぐりあう】、巡り合う【めぐりあう】、巡り逢う【めぐりあう】、廻り合う【めぐりあう】、回り合う【めぐりあう】