Ok.
As workaround, I do in 2 steps, instgead of in MultiCompleted procedure.
First, I upload, and second, I do what I need with every file.
The only thing, is that in the MultiCompleted procedure, I store the filenames in a memo (could be stringlist too).
With this, is more clear for the users, but still have the problem that can click Upload button again, and again, ...