While I was drafting my previous post, I also had in mind another instance of sporting cooperation between North and South Korea. In 1991, a unified table tennis team (called 코리아, Korea) competed at the World Championships in Chiba, Japan, and the Korean women won the team event. In 2012, a movie (Korean title 코리아, English title As one) was made starring Bae Doona (see also here) as the leading Northern player and Ha Ji-won as the leading Southern player. There is a short trailer and a 10 minute fan edit on the interweb, and there may be a full version, but it was taking too long to load, and I gave up.
The Wikipedia page on the championships shows that Li Bun-hui/Ri Pun-hui (Bae’s character) also won silver in the women’s singles and teamed with her (?then/future) husband for bronze in the mixed doubles. Note that Bae had to learn to play table tennis left-handed to portray Ri.