Question

Writing and speaking "A strange coincidence"
Use what you know:
I was travelling on a ... to ... when a girl/boy came and sat next to me.We started talking and we found out that...

Answer 1

I was travelling on an airplane from my hometown of Bucharest to a wedding in Paris when a strange looking lady sat next to me. I curiously glimpsed at her unusual appearance, as she had a weirdly shaped hat and some very pretentious eye glasses. 
At first I tried ignoring the lady, as she didn't interest  me enough to start a conversation. What surprised me most was when she asked "Where are you going to?". I answered surprised by the ridiculous nature of the question: "Paris. My cousin is getting married two days from now." ."How lovely" she replied while taking her shades of "I am also attending a wedding in two days" she continued.
We started talking and we found out that strangely enough, we were going to the same wedding, it seems that she was the grooms aunt and I was the bride's cousin. 
If it weren't for her desire to spend the trip talking to the person next to her, in this case me, I never would have guessed that two days from then I would see that strange lady again.

Answer 2

I was traveling on a dull gloomy day to my aunt in a near city from my hometown, when a boy came and sat next to me. 
At first, we didn't talk, but after a while we start changing opinion of a movie we both recently seen. We were having strong different opinions so we soon start quarreling about which actor was better than another. Although, we didn't agree on the final conclusion, we kept talking about other things. 
We soon found out, that we were both traveling to our aunt, in the same city, but it wasn't a very interesting subject so we passed it fast. 
When the train arrived in station, he got out fast and went to a taxi that was waiting there. I didn't have much money so I took the bus to my aunt. 
When I got there, I was more than surprised to find my train buddy, sitting there, on my aunt's green couch. We both smiled and then started laughing. 
It turned out were even relatives, my mother and his father being my aunt's grandsons. 
That was truly an unexpected trip!