diff --git a/addons/account/models/account_reconcile_model.py b/addons/account/models/account_reconcile_model.py
index 0d2d67f8e39..33df0fd263f 100644
--- a/addons/account/models/account_reconcile_model.py
+++ b/addons/account/models/account_reconcile_model.py
@@ -226,6 +226,8 @@ class AccountReconcileModel(models.Model):
     _order = 'sequence, id'
     _check_company_auto = True
 
+    _sql_constraints = [('name_unique', 'unique(name, company_id)', 'A reconciliation model already bears this name.')]
+
     # Base fields.
     active = fields.Boolean(default=True)
     name = fields.Char(string='Name', required=True)
@@ -412,6 +414,17 @@ class AccountReconcileModel(models.Model):
                 elif record.payment_tolerance_type == 'fixed_amount' and record.payment_tolerance_param < 0:
                     raise ValidationError(_("A payment tolerance defined as an amount should always be higher than 0"))
 
+    @api.returns('self', lambda value: value.id)
+    def copy(self, default=None):
+        default = default or {}
+        if default.get('name'):
+            return super(AccountReconcileModel, self).copy(default)
+        name = _("%s (copy)", self.name)
+        while self.env['account.reconcile.model'].search([('name', '=', name)], limit=1):
+            name = _("%s (copy)", name)
+        default['name'] = name
+        return super(AccountReconcileModel, self).copy(default)
+
     ####################################################
     # RECONCILIATION PROCESS
     ####################################################
diff --git a/addons/account/models/chart_template.py b/addons/account/models/chart_template.py
index 0a7280d0362..9c9066eb54a 100644
--- a/addons/account/models/chart_template.py
+++ b/addons/account/models/chart_template.py
@@ -805,32 +805,32 @@ class AccountChartTemplate(models.Model):
             self.create_record_with_xmlid(company, account_reconcile_model, 'account.reconcile.model', vals)
 
         # Create default rules for the reconciliation widget matching invoices automatically.
+        if not self.parent_id:
+            self.env['account.reconcile.model'].sudo().create({
+                "name": _('Invoices/Bills Perfect Match'),
+                "sequence": '1',
+                "rule_type": 'invoice_matching',
+                "auto_reconcile": True,
+                "match_nature": 'both',
+                "match_same_currency": True,
+                "allow_payment_tolerance": True,
+                "payment_tolerance_type": 'percentage',
+                "payment_tolerance_param": 0,
+                "match_partner": True,
+                "company_id": company.id,
+            })
 
-        self.env['account.reconcile.model'].sudo().create({
-            "name": _('Invoices/Bills Perfect Match'),
-            "sequence": '1',
-            "rule_type": 'invoice_matching',
-            "auto_reconcile": True,
-            "match_nature": 'both',
-            "match_same_currency": True,
-            "allow_payment_tolerance": True,
-            "payment_tolerance_type": 'percentage',
-            "payment_tolerance_param": 0,
-            "match_partner": True,
-            "company_id": company.id,
-        })
-
-        self.env['account.reconcile.model'].sudo().create({
-            "name": _('Invoices/Bills Partial Match if Underpaid'),
-            "sequence": '2',
-            "rule_type": 'invoice_matching',
-            "auto_reconcile": False,
-            "match_nature": 'both',
-            "match_same_currency": True,
-            "allow_payment_tolerance": False,
-            "match_partner": True,
-            "company_id": company.id,
-        })
+            self.env['account.reconcile.model'].sudo().create({
+                "name": _('Invoices/Bills Partial Match if Underpaid'),
+                "sequence": '2',
+                "rule_type": 'invoice_matching',
+                "auto_reconcile": False,
+                "match_nature": 'both',
+                "match_same_currency": True,
+                "allow_payment_tolerance": False,
+                "match_partner": True,
+                "company_id": company.id,
+            })
 
         return True