Begin with a person, not a perfect sentence.
Think of someone you would like to thank, an old acquaintance you would enjoy hearing from, or a version of yourself that did not know what came next. Write their name at the top of a page. A private letter can be incomplete and contradictory. Nobody is grading its structure, and writing something does not create an obligation to share it.
Three simple openings.
Try “I still remember the time…” for a note of appreciation. Try “This made me think of you…” for a low-pressure reconnection. For a private letter, try “What I never found the words for was…” and stop whenever you want. Keep details about other people out of anything you submit to a public collection.
If you send it, keep the door easy to open.
A short message is often enough: “I passed that little bookshop we used to visit and thought of you. Would you be up for a coffee sometime?” Give the other person room to decline or leave it unanswered. Respect any request for no contact, and do not use this exercise to reopen a connection that feels unsafe.
An invitation to someone new.
Reconnecting with an old friend is only one possibility. You could invite a neighbour to a public community activity or register interest in a conversation circle. The useful part is the clear, modest invitation. A first conversation does not need to carry the weight of a whole friendship.