On Sun, 26 Aug 2018 16:20:49 -0400, Ed Pawlowski wrote:

We had a dog door put in and the wall sections was cut out. So I can see
what
is in the wall. It is stucco and foam behind it. What is the best way of
hanging outside things on this. Also would like to hang, light strings
on the
patio. I tried to use the things like cup hooks but alas the go in and fall
right out. Please any help would be welcome.

Is it real stucco or is it a Sto or Dryvit system? They use foam about
2" thick. The foam won't take a screw so you have to go deeper. If
what you are hanging is light, urethane adhesive could work but it will
leave a permanent mark.

My stucco is a 3-Coat, maybe ~1.x inches thick. I've driven nails
into it at a downward diagonal ( / ). Have decorations that are just
fine hanging. (for years.)

If the OP hits a stud he will be okay.