The purpose of praying for each person is to treat each encounter as a once-in-a-lifetime fate.
The first half of the sentence, "Meetings, one meeting," is a Zen saying, while the second half, "One session, one prayer" is a variation of the Japanese Zen saying, "One session, one meeting." There is a sentence in "Norwegian Wood", "Those who meet will meet again" and "Those who meet will part ways, one meeting after another" have a similar Zen meaning. Life is like a forest, some people go out and they will never see each other again, but those who are lost will eventually meet, because no matter how small the forest is, they will still get lost.
There is a word in the Japanese tea ceremony called "一期一会", which means that a person may only be able to meet the other person once in his life, so he should treat the other person in the best way. Sometimes, your encounter with a person may be fate. Even if you only meet someone once in your life, you should cherish it, meet tenderly, and part ways tenderly, without leaving any regrets.
Perhaps the person in your heart now has been met in your previous life, and the encounter in this life is just a reunion after a long separation. Some people, when you meet them for the first time, feel as if you have known them for a long time. You can't explain the feeling. Meeting you for the first time is like returning from an old friend.
The analysis of this Zen saying:
Hui means gathering, gathering, gathering. Li means leaving, parting, and separation. "Those who meet will surely leave," which means that people who meet frequently will inevitably part ways. It means that things in the world are unpredictable and there is no banquet that lasts forever. Treat everyone you meet as a once-in-a-lifetime fate. The two sentences have unrelated origins, but have similar meanings, and people often use them together.
Meeting person Dingli is a Buddhist term, which probably means that even people you see often will eventually leave. Prayer for one period is usually understood to mean one meeting for one period, which means that people in the world meet once and less once. Generally speaking, these two sentences mean that things in the world are impermanent and you should cherish the people you meet.