1) What happens when somebody gains a free move by a combat card? Does he/she need to evade the monster he/she fought with (If they are in the same space)? What about the other monsters in his/her space?

2) Is a player, that has used his investigator's once per game ability and then died and received a new investigator, able to use the new investigator's once per game ability? In galactica for example it is not allowed (each player may use only one "once per game ability"). But in this game I haven 't found any evidence to support this. Did I miss something or it just works differently? How do you play it?

1. I'd say no evade from the monster you are fighting, since the movement is a result of that combat.

2. Yes, new characters can use their special ability, even if the player already used a previous (dead) character's ability.

Thank you for answering!

You dont have to evade the monster you are fighting to but you have to evade monsters in the same space.