All bleeding stops... eventually.
Wounds don't stay open forever, but the word "eventually" admits that the waiting can be long and ugly. The line is deliberately double-edged. In one sense it is a promise of healing: bodies clot, pain fades, and even grief loses its sharpest edge. In another, it is gallows humor, since bleeding also stops when life does. That grim wink is typical of the dry, unsentimental comfort found among medics, soldiers, and anyone who has seen real hurt up close. Nobody knows who first said it, so it belongs to folk wisdom rather than to any one thinker.
It echoes older ideas, especially the Stoic habit of reminding yourself that everything passes, good and bad alike. It offers perspective rather than cheerful reassurance. It doesn't say the wound isn't serious, only that the present state isn't permanent.
A person today might remember it after a painful breakup or a job loss, when the urge is to believe the raw feeling will last forever. They could treat it as a quiet instruction: keep the wound clean, ask for help, eat and sleep, and let time do its slow work without demanding a deadline.