diff --git a/addons/account/models/account_move_line.py b/addons/account/models/account_move_line.py
index 048294a04d0..14ba48c1c04 100644
--- a/addons/account/models/account_move_line.py
+++ b/addons/account/models/account_move_line.py
@@ -1659,10 +1659,12 @@ class AccountMoveLine(models.Model):
             and not has_zero_residual \
             and counterpart_currency != company_currency:
             rate = get_odoo_rate(aml, counterpart_currency)
-            available_residual_per_currency[counterpart_currency] = {
-                'residual': counterpart_currency.round(remaining_amount * rate),
-                'rate': rate,
-            }
+            residual_in_foreign_curr = counterpart_currency.round(remaining_amount * rate)
+            if not counterpart_currency.is_zero(residual_in_foreign_curr):
+                available_residual_per_currency[counterpart_currency] = {
+                    'residual': residual_in_foreign_curr,
+                    'rate': rate,
+                }
         elif currency == counterpart_currency \
             and currency != company_currency \
             and not has_zero_residual_currency:
diff --git a/addons/account/tests/test_account_move_reconcile.py b/addons/account/tests/test_account_move_reconcile.py
index dc53d58eff6..6ba971ca8f7 100644
--- a/addons/account/tests/test_account_move_reconcile.py
+++ b/addons/account/tests/test_account_move_reconcile.py
@@ -40,6 +40,12 @@ class TestAccountMoveReconcile(AccountTestInvoicingCommon):
             'currency_unit_label': 'Diamond',
             'currency_subunit_label': 'Carbon',
         }, rate2016=6.0, rate2017=4.0)
+        cls.currency_data_3 = cls.setup_multi_currency_data(default_values={
+            'name': 'Sand',
+            'symbol': 'S',
+            'currency_unit_label': 'Sand',
+            'currency_subunit_label': 'Sand',
+        }, rate2016=0.0001, rate2017=0.00001)
 
         # ==== Cash Basis Taxes setup ====
 
@@ -1150,6 +1156,30 @@ class TestAccountMoveReconcile(AccountTestInvoicingCommon):
             {'amount_residual': 40.0,       'amount_residual_currency': 40.0,   'reconciled': False},
         ])
 
+    def test_reconcile_one_foreign_currency_fallback_company_currency(self):
+        comp_curr = self.company_data['currency']
+        foreign_curr = self.currency_data_3['currency']
+
+        line_1 = self.create_line_for_reconciliation(-10.0, -10.0, comp_curr, '2017-01-01')
+        line_2 = self.create_line_for_reconciliation(1000000.0, 100.0, foreign_curr, '2017-01-01')
+        amls = line_1 + line_2
+
+        amls.reconcile()
+        partials = self._get_partials(amls)
+
+        self.assertRecordValues(partials, [{
+            'amount': 10.0,
+            'debit_amount_currency': 0.001,
+            'credit_amount_currency': 10.0,
+            'debit_move_id': line_2.id,
+            'credit_move_id': line_1.id,
+        }])
+        self.assertFalse(partials.exchange_move_id)
+        self.assertRecordValues(line_1 + line_2, [
+            {'amount_residual': 0.0,        'amount_residual_currency': 0.0,    'reconciled': True},
+            {'amount_residual': 999990.0,   'amount_residual_currency': 99.999, 'reconciled': False},
+        ])
+
     def test_reconcile_exchange_difference_on_partial_same_foreign_currency_debit_expense_full_payment(self):
         currency = self.currency_data['currency']