diff --git a/account_move_transactionid_import/parser/transactionid_file_parser.py b/account_move_transactionid_import/parser/transactionid_file_parser.py
index 29c3c04e..4febcdaa 100644
--- a/account_move_transactionid_import/parser/transactionid_file_parser.py
+++ b/account_move_transactionid_import/parser/transactionid_file_parser.py
@@ -32,6 +32,7 @@ class TransactionIDFileParser(FileParser):
         super().__init__(
             profile, extra_fields=conversion_dict, ftype=ftype, header=header,
             **kwargs)
+        self.support_multi_moves = True
 
     @classmethod
     def parser_for(cls, parser_name):
@@ -68,3 +69,11 @@ class TransactionIDFileParser(FileParser):
             'debit': amount < 0.0 and -amount or 0.0,
             'ref': line.get('transaction_id', '/'),
         }
+
+    def get_move_vals(self):
+        res = super().get_move_vals()
+        if 'ref' in res:
+            res.pop('ref')
+        if res.get('name') == '/':
+            res['name'] = self.move_ref
+        return res
diff --git a/account_move_transactionid_import/tests/test_transactionid_import.py b/account_move_transactionid_import/tests/test_transactionid_import.py
new file mode 100644
index 00000000..2bb209e3
--- /dev/null
+++ b/account_move_transactionid_import/tests/test_transactionid_import.py
@@ -0,0 +1,53 @@
+# Copyright 2019 Camptocamp SA
+# License AGPL-3.0 or later (https://www.gnu.org/licenses/agpl)
+import base64
+import os
+
+from odoo.modules.module import get_module_resource
+from odoo.addons.account_move_base_import.tests.test_base_import import TestCodaImport
+
+
+class TestTransactionIdImport(TestCodaImport):
+
+
+    def test_multiline_csv(self):
+        """Test import from csv
+        """
+        self.journal.write({'import_type': 'generic_csvxls_transaction'})
+        file_name = get_module_resource(
+            'account_move_transactionid_import', 'data', 'statement.csv'
+        )
+        move_ids = self._import_file_multi(file_name)
+        self._validate_imported_moves(move_ids)
+
+    def test_multiline_xls(self):
+        """Test import from xls
+        """
+        self.journal.write({'import_type': 'generic_csvxls_transaction'})
+        file_name = get_module_resource(
+            'account_move_transactionid_import', 'data', 'statement.xls'
+        )
+        move_ids = self._import_file_multi(file_name)
+        self._validate_imported_moves(move_ids)
+
+    def _import_file_multi(self, file_name):
+        """ import a file using the wizard
+        return the create account.bank.statement object
+        """
+        with open(file_name, 'rb') as f:
+            content = f.read()
+            self.wizard = self.import_wizard_obj.create({
+                "journal_id": self.journal.id,
+                'input_statement': base64.b64encode(content),
+                'file_name': os.path.basename(file_name),
+            })
+            res = self.wizard.import_statement()
+            return self.account_move_obj.browse(res['domain'][0][2])
+
+    def _validate_imported_moves(self, moves):
+        self.assertEqual(len(moves), 3)
+        transaction_ids = ['50969286', '51065326', '51179306']
+        for i, move in enumerate(moves):
+            self.assertEqual(move.ref, transaction_ids[i])
+            self.assertEqual(move.name, 'statement')
+            self.assertEqual(3, len(move.line_ids))