So how do you handle Fate Points? Somehow, Fate Points refreshing every game session doesn't feel proper if it means they are refreshed in the midst of an adventure. The clever devils that are my PCs remarked that if you have a fate point left when the session is almost over, you should use it to heal yourself. Come next session, everyone is full and fine again, which is not okay IMHO if you have any sort of cliffhanger ending.
What do you think?