mag-
to happen to meet.
This word refers to someone passing by as one comes at right angles to him, as in meeting someone on the main road from a
side road, or as in coming out of a building onto the street.
I have met with your fiance yesterday, when I came out of the office.
I bumped into your fiance yesterday, when I was coming out of the office. ["Bumped into" is idiomatic English for "happened
to meet".]