Everyone's interpretation of the "Basic 10" seems to be a little different, but if you mean the original 10 Essentials published by The Mountaineers in I believe the 1930's (map, compass, light, sun protection, extra food and water, extra clothing, matches, firestarter [tinder], knife, and FAK), I would add:
-shelter, at least trash bags
-duct tape
-a whistle
-a signal mirror
-possibly a PLB
-A lightweight insulating pad of at least sit down size, particularly if there's snow/frozen ground
-20' 550 cord

You can go on an on from there and get a pack so big that you can't move, but I'd add at least those things.

HJ