Antonyms for the phrase "brought a screeching halt" include "continued smoothly," "gradually slowed down," and "ended gradually." These phrases suggest a more controlled and less abrupt ending to a situation. Alternatively, one could say that something "tapered off" or "wound down," indicating a natural decrease in intensity rather than a sudden stop. Other antonyms include "gradual conclusion," "diminished gradually," and "wound up calmly." These phrases convey a sense of calm and order instead of the chaos and abruptness implied by "brought a screeching halt.