In thoroughbred horse racing, “came again” refers to a horse that takes the lead, loses it to a rival, then regains ground on the leaders during the race. The horse doesn’t necessarily have to win the race, but should be gaining ground on the leaders at the finish.
“Came again” is an important form comment that suggests a horse has gameness and determination—valuable traits that handicappers look for when evaluating future performance. It indicates the horse didn’t give up when challenged and found another gear when pressed, which can be a positive sign for future races.