Playing through select sequences of Half-Life 2 in "difficult" mode, I have thus far noticed two separate instances of the G-Man [or Briefcase Man] appearing in the distance.
The first time I saw him all I could think was: "Oh my god! It’s that guy from the intro! He’s standing right over there looking at me! I’ve gotta run as fast as I can to try to catch up with him! … Hey, where’d he go? He was just here I swear!" which is probably how the designers would like me to respond…