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I'm not sure I understand what you mean. Like meeting some (man or woman) by chance and being friends for a long time? Or lovers?

I met someone decades ago, and we are still pals although we don't see each other very often now days. He lives in a motor home and goes mining in warm climates when it's cold here; while I'm content to stay put in my home of 24 years. Cei La Vie!

Yes. I mean a relationship that came about totally by accident......how, why, when, where........etc.......... sorry that I was not clear in posting this.

I wish !

Well over 20 years ago, right after my divorce and still feeling quite down from it ending and all, my sister invited me to her house to spend the weekend. She lived 50 miles away. She had a card game going while I was there. A little disappointed because she said it would be a weekend for just us two to share some "girl" time . I was odd person out as they were playing partners.... Just then her neighbor walked in with a bottle of wine. He was not invited over, so she says. I knew him for years as my brother in law's best friend... NOT once was I the least bit attracted to him. But of course I was married then and he was too all those years. Well after drinking some of his wine, we took a walk, sat on a huge rock in a park, he talked about the stars, he was so intelligent, just amazed me. He also talked about the way he was always envious of my husband for having such a caring and loving wife...... and then he asked me if he could kiss me. It was just like a Cinderella or a Snow White fairy tale, very very romantic.

The relationship lasted 2 years until I broke up with him because of his alcohol problem, although I loved him so, letting him go was for the best.

I met the first man I dated after my husband died walking across a parking lot with my girlfriend. We were in the Buckhead area of Atlanta, looking for some place to listen to music and have a drink. He was an off duty deputy working security in the parking lot. When we came back to the car to leave, he stopped us and asked where we were going and said that he would like to join us when he got off work and dance with me. We didn't stay at that place long and I drove back to tell him not to bother - ended up giving him my card. He called me at work that next Monday. We dated for over a year, and stayed friends for several years after that. I lost contact with him when he moved to Germany and got married to a German widow a couple of years ago!

Not a female/male relationship, but I took a class "Dating over 40"
The teacher never showed up, one of the girls there and I went for coffee and ended up being friends. she has since remarried but we still keep in contact.This was the night they had the big earth quake at the world series game, I think it was 88 or 89.

well when you think how big the world is and how astronomical the odds of two people bein in the same place at the same time who have never met before and probably wouldn't again in their whole life i'd say most meetins like that are accidental .. none of us get up in the mornin thinkin hey todays the day i'm gonna meet that special someone .. it just kinda happens .. and yeah its happened to me .. quite a few times .. met a girl in a music store once and it was an instant kinda thing .. but i was with my sister and she thought my sister was my wife and my niece was my daughter so she was really behavin herself .. my sister went to another store and left me there with my niece and we talked for about 15 minutes and my sister popped her head back in and said come on time to go so i said goodby to her .. but when i got home i thought that i'd never see her again and what a chance encounter it was .. so i called the music store and told em it was an emergency i needed to talk to the girl who was takin the guitar lesson .. so they put her on the phone and i told her ya know we probably would never meet again so i'd like to talk to you some more if i could .. so she asks me what about your wife ?? and i told her i didn't have a wife .. who was that you were with then ?? my sister .. oh yeah right .. so i put my sister on the phone .. and the first thing she says is who are you and what do you want with my husband ?? i almost freaked .. i grabbed the phone and said trust me she's just a sick puppy and my sister told her the truth.. so we made a date to meet again and later on after a couple of dates i found out she was married .. but not happily ( of course right ) i think its all downhill from here ..

Wow, that is quite a story. Makes you wonder what the purpose of these chance encounters are or are they just that....chance encounters? Something to think about, huh? I believe that things like meetings happen for a reason and usually it is that you need to learn something or teach someone something, but a lot end very abruptly leaving you wondering why? Just read an article on soulmates and I hope my soulmate and I learn our lesson this time because it is frustrating especially when we are speaking of unrequited love (on my part, of course) Maybe I need to learn to let go.....

Moon

Yes, I met someone on a very long plane flight...

A long plane flight must have given you time to get quite acquainted....