Reentrant Interrupt Handler

Hi, AFAIK, when cpu run an interrupt handler, local interrupt is disabled. It means that this cpu is not going to be interrupted until it executes the current interrupt handler. Can same interrupt occur on other cpus? Suppose a device interrupts and its handler starts running on cpu0. What happens if this device issue another interrupt before the handler running on cpu0 is finished? Will interrupt handler run on another (say cpu1) concurrently? Any explanation regarding arm/gic will helpful. Thanks in advance!