Yes and no: A second battle will only occur if the cloud trapezed commanders fail to conquer the province or-and if some enemy is simultaneously moving armies normally into that province...
Another peculiarity to remind are sneaking commanders which are already located in the target province and which are ordered to attack on the same turn: They will attack at 2) together with the friendly units that are cloud trapezing (or teleporting) in to attack.
Why do you ask? You're not up to something nasty against me in that common game of ours?