17 hours ago, thespaceinvader said:'These dice do not count as having been rerolled'
12 hours ago, Maui. said:Han's ability is not a roll, and so cannot trigger itself.
If you roll the dice and it isn't considered a re-roll then it is a new roll of the dice. The limiter in Han's wording being modified as @thespaceinvader suggests would permit him to trigger from his own not a reroll roll.