From the rules:
Quote:
Originally Posted by DarthBayne
Survivor
A keyword ability. When a hired Monster survives a fight, this ability triggers before that Monster is moved to the stash.
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My interpretation is that since the ability triggers before it is moved to the stash, then the ability happens during the fight (just at the end). I have actually used this on a Goblin Kaboomer to keep him from being removed from the game, and going to the stash instead, so I can use him again.