diff --git a/defaults/main.yml b/defaults/main.yml
index 5502f86..f7b3bf6 100644
--- a/defaults/main.yml
+++ b/defaults/main.yml
@@ -66,6 +66,11 @@ venv_pip_upgrade_noconf: false
 # or installing python packages.
 venv_build_constraints: []
 
+# A list of pip constraints to be applied as global
+# constraints ahead of the list in venv_build_constraints.
+# This is useful for global pins across all venvs.
+venv_build_global_constraints: []
+
 # Arguments to pass to pip when building the wheels
 venv_pip_build_args: ""
 
diff --git a/tasks/python_venv_install.yml b/tasks/python_venv_install.yml
index fbb9061..d526ed8 100644
--- a/tasks/python_venv_install.yml
+++ b/tasks/python_venv_install.yml
@@ -73,6 +73,15 @@
       {% endfor %}
   register: _requirement_file
 
+- name: Build global constraints file for the venv
+  copy:
+    dest: "{{ venv_install_destination_path }}/global-constraints.txt"
+    content: |
+      {% for item in venv_build_global_constraints %}
+      {{ item }}
+      {% endfor %}
+  register: _global_constraint_file
+
 - name: Build constraints file for the venv
   copy:
     dest: "{{ venv_install_destination_path }}/constraints.txt"
@@ -97,6 +106,8 @@
     state: "{{ venv_pip_package_state }}"
     virtualenv: "{{ venv_install_destination_path }}"
     extra_args: >-
+      --constraint {{ venv_install_destination_path }}/global-constraints.txt
+      --constraint {{ venv_install_destination_path }}/constraints.txt
       --log /var/log/python_venv_build.log
       {{ venv_default_pip_install_args }}
       {{ venv_pip_install_args }}
@@ -116,12 +127,13 @@
         state: "{{ venv_pip_package_state }}"
         virtualenv: "{{ venv_install_destination_path }}"
         extra_args: >-
+          --constraint {{ venv_install_destination_path }}/global-constraints.txt
           --constraint {{ venv_install_destination_path }}/constraints.txt
           --pre
           --log /var/log/python_venv_build.log
           {{ venv_default_pip_install_args }}
           {{ venv_pip_install_args }}
-      when: (_requirement_file is changed) or (_constraint_file is changed)
+      when: (_requirement_file is changed) or (_global_constraint_file is changed) or (_constraint_file is changed)
       register: _install_venv_pip_packages
       until: _install_venv_pip_packages is success
       retries: 5
@@ -134,6 +146,7 @@
         state: absent
       with_items:
         - "{{ venv_install_destination_path }}/constraints.txt"
+        - "{{ venv_install_destination_path }}/global-constraints.txt"
         - "{{ venv_install_destination_path }}/requirements.txt"
     - fail:
         msg: >
diff --git a/tasks/python_venv_wheel_build.yml b/tasks/python_venv_wheel_build.yml
index 02bfef6..760d384 100644
--- a/tasks/python_venv_wheel_build.yml
+++ b/tasks/python_venv_wheel_build.yml
@@ -47,6 +47,7 @@
       with_items:
         - "{{ venv_build_host_wheel_path }}"
         - "{{ venv_build_host_requirements_path }}/{{ venv_install_destination_path | basename }}-requirements.txt"
+        - "{{ venv_build_host_requirements_path }}/{{ venv_install_destination_path | basename }}-global-constraints.txt"
         - "{{ venv_build_host_requirements_path }}/{{ venv_install_destination_path | basename }}-source-constraints.txt"
         - "{{ venv_build_host_requirements_path }}/{{ venv_install_destination_path | basename }}-constraints.txt"
       when:
@@ -84,6 +85,15 @@
           {% endfor %}
       register: _requirement_file
 
+    - name: Build global constraints file for the venv
+      copy:
+        dest: "{{ venv_build_host_requirements_path }}/{{ venv_install_destination_path | basename }}-global-constraints.txt"
+        content: |
+          {% for item in venv_build_global_constraints %}
+          {{ item }}
+          {% endfor %}
+      register: _global_constraint_file
+
     - name: Build constraints file for the venv
       copy:
         dest: "{{ venv_build_host_requirements_path }}/{{ venv_install_destination_path | basename }}-source-constraints.txt"
@@ -102,6 +112,7 @@
         state: "{{ venv_pip_package_state }}"
         virtualenv: "{{ venv_build_host_venv_path }}"
         extra_args: >-
+          --constraint {{ venv_build_host_requirements_path }}/{{ venv_install_destination_path | basename }}-global-constraints.txt
           --constraint {{ venv_build_host_requirements_path }}/{{ venv_install_destination_path | basename }}-source-constraints.txt
           --find-links {{ venv_build_host_wheel_path }}/
           --log /var/log/python_venv_build.log
@@ -114,7 +125,7 @@
       delay: 2
 
     - name: Build wheels and constraints file
-      when: (_requirement_file is changed) or (_constraint_file is changed)
+      when: (_requirement_file is changed) or (_global_constraint_file is changed) or (_constraint_file is changed)
       block:
         - name: Clean up temporary wheel build path
           file:
@@ -125,6 +136,7 @@
           command: >-
             {{  venv_build_host_venv_path }}/bin/pip wheel
             --requirement {{ venv_build_host_requirements_path }}/{{ venv_install_destination_path | basename }}-requirements.txt
+            --constraint {{ venv_build_host_requirements_path }}/{{ venv_install_destination_path | basename }}-global-constraints.txt
             --constraint {{ venv_build_host_requirements_path }}/{{ venv_install_destination_path | basename }}-source-constraints.txt
             --wheel-dir /tmp/{{ venv_install_destination_path | basename }}/
             --find-links {{ venv_build_host_wheel_path }}/