diff --git a/src/pretix/plugins/banktransfer/mt940import.py b/src/pretix/plugins/banktransfer/mt940import.py
index 5b76dd42f6..4a937b9ad9 100644
--- a/src/pretix/plugins/banktransfer/mt940import.py
+++ b/src/pretix/plugins/banktransfer/mt940import.py
@@ -182,11 +182,11 @@ def parse(file):
             transaction_details = parse_transaction_details(td.replace("\n", ""))
 
             payer = {
-                'name': transaction_details.get('accountholder', ''),
+                'name': transaction_details.get('accountholder', '') or t.data.get('applicant_name', ''),
                 # In reality, these fields are sometimes IBANs and BICs, and sometimes legacy numbers. We don't
                 # really know (except for a syntax check) which will be performed anyways much later in the stack.
-                'iban': transaction_details.get('accountnumber', ''),
-                'bic': transaction_details.get('blz', ''),
+                'iban': transaction_details.get('accountnumber', '') or t.data.get('applicant_iban', ''),
+                'bic': transaction_details.get('blz', '') or t.data.get('applicant_bin', ''),
             }
             reference, eref = join_reference(transaction_details.get('reference', '').split('\n'), payer)
             if not eref:
@@ -200,11 +200,19 @@ def parse(file):
                 **{k: payer[k].strip() for k in ("iban", "bic") if payer.get(k)}
             })
         else:
+            payer = {
+                'payer': t.data.get('applicant_name', ''),
+                # In reality, these fields are sometimes IBANs and BICs, and sometimes legacy numbers. We don't
+                # really know (except for a syntax check) which will be performed anyways much later in the stack.
+                'iban': t.data.get('applicant_iban', ''),
+                'bic': t.data.get('applicant_bin', ''),
+            }
             result.append({
                 'reference': "\n".join([
-                    t.data.get(f) for f in ('transaction_details', 'customer_reference', 'bank_reference',
+                    t.data.get(f) for f in ('transaction_details', 'customer_reference', 'bank_reference', 'purpose',
                                             'extra_details', 'non_swift_text') if t.data.get(f, '')]),
                 'amount': str(round_decimal(t.data['amount'].amount)),
-                'date': t.data['date'].isoformat()
+                'date': t.data['date'].isoformat(),
+                **{k: payer[k].strip() for k in ("iban", "bic", "payer") if payer.get(k)}
             })
     return result
diff --git a/src/setup.py b/src/setup.py
index eb3b377284..d1d154baaa 100644
--- a/src/setup.py
+++ b/src/setup.py
@@ -198,7 +198,7 @@ setup(
         'lxml',
         'markdown==3.3.4',  # 3.3.5 requires importlib-metadata>=4.4, but django-bootstrap3 requires importlib-metadata<3.
         # We can upgrade markdown again once django-bootstrap3 upgrades or once we drop Python 3.6 and 3.7
-        'mt-940==3.2',
+        'mt-940==4.23.*',
         'oauthlib==3.1.*',
         'openpyxl==3.0.*',
         'packaging',
diff --git a/src/tests/plugins/banktransfer/test_mt940.py b/src/tests/plugins/banktransfer/test_mt940.py
index 3b551fa717..f7e20f49ff 100644
--- a/src/tests/plugins/banktransfer/test_mt940.py
+++ b/src/tests/plugins/banktransfer/test_mt940.py
@@ -215,23 +215,23 @@ EXPECTED = [
          'payer': 'MUELLER',
          'iban': '234567',
          'bic': '10020030',
-         'reference': 'Miete November'},
+         'reference': 'NONREF//55555\nMiete November'},
         {'amount': '3000.00',
          'date': '2002-11-02',
          'payer': 'MUELLER',
          'iban': '0847564700',
          'bic': '50060400',
-         'reference': 'Gehalt Oktober Firma Mustermann GmbH'},
+         'reference': 'NONREF//55555\nGehalt OktoberFirma Mustermann GmbH'},
     ],
     [
         {'amount': '-400.62',
          'date': '2012-02-02',
          'payer': 'MARTHAMUELLER',
          'bic': '20020020',
-         'reference': 'RECHNUNGSNR. 1210815 KUNDENNR. 01234 22222222 DATUM 01.02.2012'},
+         'reference': 'NONREF\nRECHNUNGSNR. 1210815 KUNDENNR. 01234 22222222'},
         {'amount': '-1210.00',
          'date': '2012-02-03',
-         'reference': 'MIETE GOETHESTR. 12',
+         'reference': 'NONREF\nMIETE GOETHESTR. 12',
          'payer': 'ABC IMMOBILIEN GMBH',
          'bic': '30030030',
          'iban': '3333333333'},
@@ -239,24 +239,25 @@ EXPECTED = [
          'date': '2012-02-03',
          'payer': 'STEFAN SCHMIDT',
          'bic': '40040040',
-         'reference': 'RECHNUNG 20120188 STEFAN SCHMIDTKUNDENR. 4711,'},
+         'reference': 'NONREF\nRECHNUNG 20120188STEFAN SCHMIDTKUNDENR. 4711,'},
         {'amount': '89.97',
          'date': '2012-02-03',
          'payer': 'PETER PETERSEN',
          'iban': '5555555555',
          'bic': '50050050',
-         'reference': 'RECHNUNG 20120165 PETER PETERSEN'}
+         'reference': 'NONREF//00000000\nRECHNUNG 20120165PETER PETERSEN\n0001'}
     ],
     [
-        {'amount': '5000.00', 'date': '2002-03-17', 'reference': '68790452'},
+        {'amount': '5000.00', 'date': '2002-03-17',
+         'reference': '68790452\nVerwendungszweck 1\nVerwendungszweck 2\nEmpfänger\nBuchungstext\n12345\n1000\n4711'},
         {'amount': '20000.00', 'date': '2002-03-22', 'reference': ''},
         {'amount': '20000.00', 'date': '2002-03-22', 'reference': ''},
         {'amount': '20000.00', 'date': '2002-03-22', 'reference': ''},
         {'amount': '20000.00', 'date': '2002-03-22', 'reference': ''},
+        {'amount': '20000.00', 'date': '2002-03-22', 'reference': '3037010000'},
         {'amount': '20000.00', 'date': '2002-03-22', 'reference': ''},
-        {'amount': '20000.00', 'date': '2002-03-22', 'reference': ''},
-        {'amount': '20000.00', 'date': '2002-03-22', 'reference': ''},
-        {'amount': '-50000.00', 'date': '2002-03-24', 'reference': ''}
+        {'amount': '20000.00', 'date': '2002-03-22', 'reference': 'Meyer + Schneider\nTestkonto\n37010000\n87132101'},
+        {'amount': '-50000.00', 'date': '2002-03-24', 'reference': 'bekannt\n12345'}
     ],
     [
         {'amount': '12.00',
@@ -264,19 +265,19 @@ EXPECTED = [
          'payer': 'Peter Schneider',
          'iban': 'DE13495179316396679327',
          'bic': 'NOTABIC',
-         'reference': 'Democon-Abcde (Peter Schneider ), Kategorie: Alles - E innahmen - Veranstaltungen Democon #1111'},
+         'reference': 'NONREF\nDemocon-Abcde (Peter Schneider), Kategorie: Alles - Einnahmen - Veranstaltungen Democon #1111'},
         {'amount': '12.00',
          'date': '2017-08-23',
          'payer': 'Peter Schneider',
          'iban': 'DE13495179316396679327',
          'bic': 'NOTABIC',
-         'reference': 'Democon-Abcde (Peter Schneider ), Kategorie: Alles - E innahmen - Veranstaltungen Democon #1111'},
+         'reference': 'NONREF\nDemocon-Abcde (Peter Schneider), Kategorie: Alles - Einnahmen - Veranstaltungen Democon #1111'},
         {'amount': '12.00',
          'date': '2017-08-24',
          'payer': 'Peter Schneider',
          'iban': 'DE13495179316396679327',
          'bic': 'NOTABIC',
-         'reference': 'Democon-Abcde (Peter Schneider ), Kategorie: Alles- E innahmen - Veranstaltungen Democon #1111'},
+         'reference': 'NONREF\nDemocon-Abcde (Peter Schneider), Kategorie: Alles- Einnahmen - Veranstaltungen Democon #1111'},
     ]
 ]