While 碰见 (pèngjiàn) itself is a simple, everyday verb, the unexpected encounters it describes often tap into a deeper Chinese cultural concept: 缘分 (yuánfèn).
碰见 (pèngjiàn) is a very common, informal verb used in daily conversation. It is almost exclusively used for running into people.
The biggest challenge for learners is distinguishing 碰见 from its close relatives.