diff --git a/product_multi_company/models/product_product.py b/product_multi_company/models/product_product.py
index 98910c78448..f726a7a5c4d 100644
--- a/product_multi_company/models/product_product.py
+++ b/product_multi_company/models/product_product.py
@@ -3,7 +3,7 @@
 # Copyright 2015-2016 Pedro M. Baeza <pedro.baeza@tecnativa.com>
 # License AGPL-3 - See http://www.gnu.org/licenses/agpl-3.0.html
 
-from odoo import fields, models
+from odoo import api, fields, models
 
 
 class ProductProduct(models.Model):
@@ -19,3 +19,8 @@ class ProductProduct(models.Model):
         readonly=False,
         store=True,
     )
+
+    @api.model
+    def search(self, args, offset=0, limit=None, order=None, count=False):
+        dom = self.env["multi.company.abstract"]._patch_company_domain(args)
+        return super().search(dom, offset=offset, limit=limit, order=order, count=count)
diff --git a/product_multi_company/static/description/index.html b/product_multi_company/static/description/index.html
index 70d23a1db19..3fd57b6ac16 100644
--- a/product_multi_company/static/description/index.html
+++ b/product_multi_company/static/description/index.html
@@ -8,10 +8,11 @@
 
 /*
 :Author: David Goodger (goodger@python.org)
-:Id: $Id: html4css1.css 8954 2022-01-20 10:10:25Z milde $
+:Id: $Id: html4css1.css 9511 2024-01-13 09:50:07Z milde $
 :Copyright: This stylesheet has been placed in the public domain.
 
 Default cascading style sheet for the HTML output of Docutils.
+Despite the name, some widely supported CSS2 features are used.
 
 See https://docutils.sourceforge.io/docs/howto/html-stylesheets.html for how to
 customize this style sheet.
@@ -274,7 +275,7 @@
   margin-left: 2em ;
   margin-right: 2em }
 
-pre.code .ln { color: grey; } /* line numbers */
+pre.code .ln { color: gray; } /* line numbers */
 pre.code, code { background-color: #eeeeee }
 pre.code .comment, code .comment { color: #5C6576 }
 pre.code .keyword, code .keyword { color: #3B0D06; font-weight: bold }
@@ -300,7 +301,7 @@
 span.pre {
   white-space: pre }
 
-span.problematic {
+span.problematic, pre.problematic {
   color: red }
 
 span.section-subtitle {
@@ -434,7 +435,9 @@ <h2><a class="toc-backref" href="#toc-entry-6">Contributors</a></h2>
 <div class="section" id="maintainers">
 <h2><a class="toc-backref" href="#toc-entry-7">Maintainers</a></h2>
 <p>This module is maintained by the OCA.</p>
-<a class="reference external image-reference" href="https://odoo-community.org"><img alt="Odoo Community Association" src="https://odoo-community.org/logo.png" /></a>
+<a class="reference external image-reference" href="https://odoo-community.org">
+<img alt="Odoo Community Association" src="https://odoo-community.org/logo.png" />
+</a>
 <p>OCA, or the Odoo Community Association, is a nonprofit organization whose
 mission is to support the collaborative development of Odoo features and
 promote its widespread use.</p>
diff --git a/product_multi_company/tests/test_product_multi_company.py b/product_multi_company/tests/test_product_multi_company.py
index 1fe6432964c..45658017e8c 100644
--- a/product_multi_company/tests/test_product_multi_company.py
+++ b/product_multi_company/tests/test_product_multi_company.py
@@ -114,6 +114,29 @@ def test_product_write(self):
             self.product_company_both.product_tmpl_id.company_ids,
         )
 
+    def test_search_product(self):
+        """Products with no company are shared across companies but we need to convert
+        those queries with an or operator"""
+        expected_products = (
+            self.product_company_both
+            + self.product_company_1
+            + self.product_company_none
+        )
+        searched_templates = self.env["product.template"].search(
+            [
+                ("company_id", "in", [self.company_1.id, False]),
+                ("id", "in", expected_products.product_tmpl_id.ids),
+            ]
+        )
+        self.assertEqual(searched_templates, expected_products.product_tmpl_id)
+        searched_products = self.product_obj.search(
+            [
+                ("company_id", "in", [self.company_1.id, False]),
+                ("id", "in", expected_products.ids),
+            ]
+        )
+        self.assertEqual(searched_products, expected_products)
+
     def test_uninstall(self):
         from ..hooks import uninstall_hook