To arrive (back) home; to return and reach one's destination — often implies finally reaching after a journey.
夜遅く家に帰り着いたときはほっとした。
I felt relieved when I finally got home late at night.
台風で船は難航したが、ようやく港に帰り着いた。
The ship had difficulty because of the typhoon, but it finally returned to port.
長い留学を終えて故郷に帰り着くと、昔と変わらない景色が迎えてくれた。
After finishing a long study abroad, when I returned home, the unchanged scenery welcomed me.