diff --git a/freqtrade/exchange/exchange.py b/freqtrade/exchange/exchange.py
index 20c1568ff..038fc22bc 100644
--- a/freqtrade/exchange/exchange.py
+++ b/freqtrade/exchange/exchange.py
@@ -1109,9 +1109,12 @@ class Exchange:
                 order['fee']['cost'] / safe_value_fallback(order, order, 'filled', 'amount'), 8)
         elif fee_curr in self.get_pair_quote_currency(order['symbol']):
             # Quote currency - divide by cost
-            return round(order['fee']['cost'] / order['cost'], 8)
+            return round(order['fee']['cost'] / order['cost'], 8) if order['cost'] else None
         else:
             # If Fee currency is a different currency
+            if not order['cost']:
+                # If cost is None or 0.0 -> falsy, return None
+                return None
             try:
                 comb = self.get_valid_pair_combination(fee_curr, self._config['stake_currency'])
                 tick = self.fetch_ticker(comb)
diff --git a/tests/conftest.py b/tests/conftest.py
index 971f7a5fa..1cd3bcc0f 100644
--- a/tests/conftest.py
+++ b/tests/conftest.py
@@ -1590,6 +1590,7 @@ def buy_order_fee():
         'datetime': str(arrow.utcnow().shift(minutes=-601).datetime),
         'price': 0.245441,
         'amount': 8.0,
+        'cost': 1.963528,
         'remaining': 90.99181073,
         'status': 'closed',
         'fee': None
diff --git a/tests/exchange/test_exchange.py b/tests/exchange/test_exchange.py
index 25aecba5c..32163f696 100644
--- a/tests/exchange/test_exchange.py
+++ b/tests/exchange/test_exchange.py
@@ -2192,12 +2192,18 @@ def test_extract_cost_curr_rate(mocker, default_conf, order, expected) -> None:
         'fee': {'currency': 'NEO', 'cost': 0.0012}}, 0.001944),
     ({'symbol': 'ETH/BTC', 'amount': 2.21, 'cost': 0.02992561,
         'fee': {'currency': 'NEO', 'cost': 0.00027452}}, 0.00074305),
-    # TODO: More tests here!
     # Rate included in return - return as is
     ({'symbol': 'ETH/BTC', 'amount': 0.04, 'cost': 0.05,
         'fee': {'currency': 'USDT', 'cost': 0.34, 'rate': 0.01}}, 0.01),
     ({'symbol': 'ETH/BTC', 'amount': 0.04, 'cost': 0.05,
         'fee': {'currency': 'USDT', 'cost': 0.34, 'rate': 0.005}}, 0.005),
+    # 0.1% filled - no costs (kraken - #3431)
+    ({'symbol': 'ETH/BTC', 'amount': 0.04, 'cost': 0.0,
+      'fee': {'currency': 'BTC', 'cost': 0.0, 'rate': None}}, None),
+    ({'symbol': 'ETH/BTC', 'amount': 0.04, 'cost': 0.0,
+      'fee': {'currency': 'ETH', 'cost': 0.0, 'rate': None}}, 0.0),
+    ({'symbol': 'ETH/BTC', 'amount': 0.04, 'cost': 0.0,
+      'fee': {'currency': 'NEO', 'cost': 0.0, 'rate': None}}, None),
 ])
 def test_calculate_fee_rate(mocker, default_conf, order, expected) -> None:
     mocker.patch('freqtrade.exchange.Exchange.fetch_ticker', return_value={'last': 0.081})