diff --git a/src/plugin/customParseFormat/index.js b/src/plugin/customParseFormat/index.js
index 0fbd9825..0bc8ef34 100644
--- a/src/plugin/customParseFormat/index.js
+++ b/src/plugin/customParseFormat/index.js
@@ -127,8 +127,9 @@ const parseFormattedInput = (input, format) => {
         minutes || 0, seconds || 0, milliseconds || 0
       ) + (zone.offset * 60 * 1000))
     }
+    const now = new Date()
     return new Date(
-      year, month - 1, day,
+      year || now.getFullYear(), month - 1 || now.getMonth(), day || now.getDate(),
       hours || 0, minutes || 0, seconds || 0, milliseconds || 0
     )
   } catch (e) {
diff --git a/test/plugin/customParseFormat.test.js b/test/plugin/customParseFormat.test.js
index 155560be..835df967 100644
--- a/test/plugin/customParseFormat.test.js
+++ b/test/plugin/customParseFormat.test.js
@@ -66,6 +66,12 @@ it('timezone with no hour', () => {
   expect(dayjs(input, format).valueOf()).toBe(moment(input, format).valueOf())
 })
 
+it('parse just hh:mm)', () => {
+  const input = '12:00'
+  const format = 'hh:mm'
+  expect(dayjs(input, format).valueOf()).toBe(moment(input, format).valueOf())
+})
+
 it('fails with an invalid format', () => {
   const input = '2018-05-02 12:00 PM'
   const format = 'C'