Is there a way to inherit a Drupal installation profile?
Doing some research and testing I found a way to inherit Drupal installation profiles, using drush make (works in Drupal 7).

1) Apply Drupal patch #47 submitted in this topic  

projects[drupal][type] = core
projects[drupal][version] = 7.32
projects[drupal][patch][] = https://www.drupal.org/files/issues/drupal-inheritable-profiles-2067229-47.patch


2) Set Drupal "base profile" in your profile.info file. My installation profile will be based in Guardr

name = MyProfile
description = MyProfile
version = 7.x-1.0
core = 7.x
base profile = guardr


3) Execute with Drush the make file of your base profile. Add it to your profile.make:

projects[guardr][type] = profile
projects[guardr][download][type] = git
projects[guardr][download][url] = "git://git.drupal.org/project/guardr.git"
projects[guardr][download][branch] = "7.x-1.14"


drush will download it and then recursively run the make file of the base profile

I found the reference in this blog post