The disclosure relates to methods and systems for piercing, drilling, or cutting metal workpieces in a laser processing operation. The methods include focusing a pulsed laser beam onto a processing location on a workpiece; detecting process radiation emitted from the processing location; determining an intensity of the process radiation at a plurality of temporally sequential times during pulse pauses; determining an intensity gradient of the process radiation; comparing the intensity gradient with a gradient threshold value; and detecting a spontaneous material removal on the workpiece when the number of times the gradient threshold value has been exceeded is above a predetermined limit value. When a spontaneous material removal is detected, the system changes one or both of a laser parameter and a processing parameter of the laser processing operation. The disclosure also relates to processing machines for carrying out the methods.