The Collaborative International Dictionary of English v.0.48:

Fatidical \Fa*tid"i*cal\, a. [L. fatidicus; fatum fate + dicere
   to say, tell.]
   Having power to foretell future events; prophetic;
   fatiloquent; as, the fatidical oak. [R.] --Howell. --
   Fa*tid"i*cal*ly, adv.
   [1913 Webster]