diff --git a/dlls/oleaut32/tests/vartest.c b/dlls/oleaut32/tests/vartest.c
index d3a1a2e3a31..50af05e47cc 100644
--- a/dlls/oleaut32/tests/vartest.c
+++ b/dlls/oleaut32/tests/vartest.c
@@ -1916,7 +1916,6 @@ static void test_VarParseNumFromStrFr(void)
     if (spaces[i] == ' ' || spaces[i] == 0xa0 /* non-breaking space */)
     {
       /* Trailing thousands separators are allowed as usual */
-      todo_wine_if(spaces[i] == ' ')
       EXPECT(1,NUMPRS_THOUSANDS|NUMPRS_USE_ALL,NUMPRS_THOUSANDS,2,0,0);
       EXPECT2(3,FAILDIG);
     }
@@ -1949,7 +1948,6 @@ static void test_VarParseNumFromStrFr(void)
     if (spaces[i] == ' ' || spaces[i] == 0xa0 /* non-breaking space */)
     {
       /* Non-breaking space and regular spaces work */
-      todo_wine_if(i == 0)
       EXPECT(1,NUMPRS_THOUSANDS|NUMPRS_USE_ALL,NUMPRS_THOUSANDS,5,0,3);
       EXPECTRGB(0,1); /* Don't test extra digits, see "1,000" test */
       EXPECTRGB(4,FAILDIG);
@@ -1965,34 +1963,31 @@ static void test_VarParseNumFromStrFr(void)
 
   /* With flag and decimal point, thousands sep. but not decimals consumed */
   CONVERT("1 001,0", NUMPRS_THOUSANDS);
-  if (broken(1)) /* FIXME Reenable once Wine is less broken */
   EXPECT(4,NUMPRS_THOUSANDS,NUMPRS_THOUSANDS,5,0,0);
-  todo_wine ok(np.cDig == 4, "Expected cDig = 4, got %d\n", np.cDig);
-  EXPECTRGB(0,1);
-  todo_wine EXPECTRGB(1,0);
-  todo_wine EXPECTRGB(2,0);
-  todo_wine EXPECTRGB(3,1);
+  EXPECT2(1,0);
+  EXPECTRGB(2,0);
+  EXPECTRGB(3,1);
   EXPECTRGB(4,FAILDIG);
 
   /* With flag, consecutive thousands separators are allowed */
   CONVERT("1  000", NUMPRS_THOUSANDS|NUMPRS_USE_ALL);
-  todo_wine EXPECT(1,NUMPRS_THOUSANDS|NUMPRS_USE_ALL,NUMPRS_THOUSANDS,6,0,3);
+  EXPECT(1,NUMPRS_THOUSANDS|NUMPRS_USE_ALL,NUMPRS_THOUSANDS,6,0,3);
   EXPECTRGB(0,1); /* Don't test extra digits, see "1,000" test */
   EXPECTRGB(4,FAILDIG);
 
   /* With flag, thousands separators can be sprinkled at random */
   CONVERT("1 00 0  ", NUMPRS_THOUSANDS|NUMPRS_USE_ALL);
-  todo_wine EXPECT(1,NUMPRS_THOUSANDS|NUMPRS_USE_ALL,NUMPRS_THOUSANDS,8,0,3);
+  EXPECT(1,NUMPRS_THOUSANDS|NUMPRS_USE_ALL,NUMPRS_THOUSANDS,8,0,3);
   EXPECTRGB(0,1); /* Don't test extra digits, see "1,000" test */
   EXPECTRGB(4,FAILDIG);
 
   /* With flag, but leading thousands separators are not allowed */
   CONVERT(" 1 000", NUMPRS_THOUSANDS);
-  EXPECTFAIL;
+  todo_wine EXPECTFAIL;
 
   /* With flag, thousands separator not needed but still reported */
   CONVERT("1 ", NUMPRS_THOUSANDS|NUMPRS_USE_ALL);
-  todo_wine EXPECT(1,NUMPRS_THOUSANDS|NUMPRS_USE_ALL,NUMPRS_THOUSANDS,2,0,0);
+  EXPECT(1,NUMPRS_THOUSANDS|NUMPRS_USE_ALL,NUMPRS_THOUSANDS,2,0,0);
   EXPECT2(1,FAILDIG);
 
 
@@ -2039,7 +2034,7 @@ static void test_VarParseNumFromStrFr(void)
     if (spaces[i] == ' ' || spaces[i] == 0xa0 /* non-breaking space */)
     {
       /* Spaces aliased to thousands separator are never allowed! */
-      todo_wine_if(i==0) EXPECT(2,NUMPRS_CURRENCY|NUMPRS_THOUSANDS|NUMPRS_USE_ALL,NUMPRS_CURRENCY|NUMPRS_THOUSANDS,4,0,0);
+      EXPECT(2,NUMPRS_CURRENCY|NUMPRS_THOUSANDS|NUMPRS_USE_ALL,NUMPRS_CURRENCY|NUMPRS_THOUSANDS,4,0,0);
       EXPECT2(1,2);
       EXPECTRGB(2,FAILDIG);
     }
@@ -2067,12 +2062,11 @@ static void test_VarParseNumFromStrFr(void)
 
   /* Thousands flag can also be used with currency */
   WCONVERT(L"1 234,5 \x20ac", NUMPRS_CURRENCY|NUMPRS_THOUSANDS|NUMPRS_DECIMAL|NUMPRS_USE_ALL);
-  todo_wine EXPECT(5,NUMPRS_CURRENCY|NUMPRS_THOUSANDS|NUMPRS_DECIMAL|NUMPRS_USE_ALL,NUMPRS_CURRENCY|NUMPRS_THOUSANDS|NUMPRS_DECIMAL,9,0,-1);
-  EXPECTRGB(0,1);
-  todo_wine EXPECTRGB(1,2);
-  todo_wine EXPECTRGB(2,3);
-  todo_wine EXPECTRGB(3,4);
-  todo_wine EXPECTRGB(4,5);
+  EXPECT(5,NUMPRS_CURRENCY|NUMPRS_THOUSANDS|NUMPRS_DECIMAL|NUMPRS_USE_ALL,NUMPRS_CURRENCY|NUMPRS_THOUSANDS|NUMPRS_DECIMAL,9,0,-1);
+  EXPECT2(1,2);
+  EXPECTRGB(2,3);
+  EXPECTRGB(3,4);
+  EXPECTRGB(4,5);
   EXPECTRGB(5,FAILDIG);
 
 
diff --git a/dlls/oleaut32/variant.c b/dlls/oleaut32/variant.c
index 208d5b63c8f..fbcc8ce693f 100644
--- a/dlls/oleaut32/variant.c
+++ b/dlls/oleaut32/variant.c
@@ -1615,6 +1615,7 @@ HRESULT WINAPI VarParseNumFromStr(const OLECHAR *lpszStr, LCID lcid, ULONG dwFla
   DWORD dwState = B_EXPONENT_START|B_INEXACT_ZEROS;
   int iMaxDigits = ARRAY_SIZE(rgbTmp);
   int cchUsed = 0;
+  OLECHAR cDigitSeparator2;
 
   TRACE("(%s,%d,0x%08x,%p,%p)\n", debugstr_w(lpszStr), lcid, dwFlags, pNumprs, rgbDig);
 
@@ -1634,6 +1635,10 @@ HRESULT WINAPI VarParseNumFromStr(const OLECHAR *lpszStr, LCID lcid, ULONG dwFla
     return DISP_E_TYPEMISMATCH;
 
   VARIANT_GetLocalisedNumberChars(&chars, lcid, dwFlags);
+  /* Setting the thousands separator to a non-breaking space implies regular
+   * spaces are allowed too. But the converse is not true.
+   */
+  cDigitSeparator2 = chars.cDigitSeparator == 0xa0 ? ' ' : 0;
 
   /* First consume all the leading symbols and space from the string */
   while (1)
@@ -1674,6 +1679,7 @@ HRESULT WINAPI VarParseNumFromStr(const OLECHAR *lpszStr, LCID lcid, ULONG dwFla
       /* Only accept currency characters */
       chars.cDecimalPoint = chars.cCurrencyDecimalPoint;
       chars.cDigitSeparator = chars.cCurrencyDigitSeparator;
+      cDigitSeparator2 = chars.cDigitSeparator == 0xa0 ? ' ' : 0;
     }
     else if (pNumprs->dwInFlags & NUMPRS_PARENS && *lpszStr == '(' &&
              !(pNumprs->dwOutFlags & NUMPRS_PARENS))
@@ -1781,7 +1787,9 @@ HRESULT WINAPI VarParseNumFromStr(const OLECHAR *lpszStr, LCID lcid, ULONG dwFla
         cchUsed++;
       }
     }
-    else if (*lpszStr == chars.cDigitSeparator && pNumprs->dwInFlags & NUMPRS_THOUSANDS)
+    else if (pNumprs->dwInFlags & NUMPRS_THOUSANDS &&
+             ((chars.cDigitSeparator && *lpszStr == chars.cDigitSeparator) ||
+              (cDigitSeparator2 && *lpszStr == cDigitSeparator2)))
     {
       pNumprs->dwOutFlags |= NUMPRS_THOUSANDS;
       cchUsed++;