diff --git a/src/pcre2_convert.c b/src/pcre2_convert.c
index 1d055f8..ea99556 100644
--- a/src/pcre2_convert.c
+++ b/src/pcre2_convert.c
@@ -616,7 +616,9 @@ prev_c = 0;
 
 if (*pattern == CHAR_RIGHT_SQUARE_BRACKET)
   {
-  convert_glob_write(out, CHAR_RIGHT_SQUARE_BRACKET);
+  out->out_str[0] = CHAR_BACKSLASH;
+  out->out_str[1] = CHAR_RIGHT_SQUARE_BRACKET;
+  convert_glob_write_str(out, 2);
   has_prev_c = TRUE;
   prev_c = CHAR_RIGHT_SQUARE_BRACKET;
   pattern++;
@@ -777,8 +779,8 @@ BOOL no_wildsep = (options & PCRE2_CONVERT_GLOB_NO_WILD_SEPARATOR) != 0;
 BOOL no_starstar = (options & PCRE2_CONVERT_GLOB_NO_STARSTAR) != 0;
 BOOL in_atomic = FALSE;
 BOOL after_starstar = FALSE;
-BOOL with_escape, is_start;
-int result, len;
+BOOL with_escape, is_start, after_separator;
+int result;
 
 (void)utf; /* Avoid compiler warning. */
 
@@ -840,11 +842,7 @@ while (pattern < pattern_end)
 
     if (!no_starstar && pattern < pattern_end && *pattern == CHAR_ASTERISK)
       {
-      if (!is_start && pattern[-2] != separator)
-        {
-        result = PCRE2_ERROR_CONVERT_SYNTAX;
-        break;
-        }
+      after_separator = is_start || (pattern[-2] == separator);
 
       do pattern++; while (pattern < pattern_end &&
                            *pattern == CHAR_ASTERISK);
@@ -855,27 +853,16 @@ while (pattern < pattern_end)
         break;
         }
 
-      if (escape != 0 && *pattern == escape)
-        {
-        pattern++;
-        if (pattern >= pattern_end)
-          {
-          result = PCRE2_ERROR_CONVERT_SYNTAX;
-          break;
-          }
-        }
-
-      if (*pattern != separator)
-        {
-        result = PCRE2_ERROR_CONVERT_SYNTAX;
-        break;
-        }
-
-      pattern++;
       after_starstar = TRUE;
 
+      if (after_separator && escape != 0 && *pattern == escape &&
+          pattern + 1 < pattern_end && pattern[1] == separator)
+        pattern++;
+
       if (is_start)
         {
+        if (*pattern != separator) continue;
+
         out.out_str[0] = CHAR_LEFT_PARENTHESIS;
         out.out_str[1] = CHAR_QUESTION_MARK;
         out.out_str[2] = CHAR_COLON;
@@ -886,32 +873,39 @@ while (pattern < pattern_end)
 
         convert_glob_print_separator(&out, separator, with_escape);
         convert_glob_write(&out, CHAR_RIGHT_PARENTHESIS);
+
+        pattern++;
         continue;
         }
 
       convert_glob_print_commit(&out);
 
+      if (!after_separator || *pattern != separator)
+        {
+        out.out_str[0] = CHAR_DOT;
+        out.out_str[1] = CHAR_ASTERISK;
+        out.out_str[2] = CHAR_QUESTION_MARK;
+        convert_glob_write_str(&out, 3);
+        continue;
+        }
+
       out.out_str[0] = CHAR_LEFT_PARENTHESIS;
       out.out_str[1] = CHAR_QUESTION_MARK;
       out.out_str[2] = CHAR_COLON;
       out.out_str[3] = CHAR_DOT;
       out.out_str[4] = CHAR_ASTERISK;
       out.out_str[5] = CHAR_QUESTION_MARK;
-      len = 6;
 
-      if (with_escape)
-        {
-        out.out_str[6] = CHAR_BACKSLASH;
-        len = 7;
-        }
+      convert_glob_write_str(&out, 6);
 
-      convert_glob_write_str(&out, len);
+      convert_glob_print_separator(&out, separator, with_escape);
 
-      out.out_str[0] = (uint8_t) separator;
-      out.out_str[1] = CHAR_RIGHT_PARENTHESIS;
+      out.out_str[0] = CHAR_RIGHT_PARENTHESIS;
+      out.out_str[1] = CHAR_QUESTION_MARK;
       out.out_str[2] = CHAR_QUESTION_MARK;
-      out.out_str[3] = CHAR_QUESTION_MARK;
-      convert_glob_write_str(&out, 4);
+      convert_glob_write_str(&out, 3);
+
+      pattern++;
       continue;
       }
 
diff --git a/testdata/testinput24 b/testdata/testinput24
index f96e4cc..69fa366 100644
--- a/testdata/testinput24
+++ b/testdata/testinput24
@@ -252,6 +252,9 @@
 /****/
 
 /**\/abc/
+  abc
+  x/abc
+  xabc
 
 /abc\/**/
 
@@ -271,6 +274,19 @@
   xx/xx/xx/xax/xx/xb
   xx/xx/xx/xax/xx/x
 
+"**a"convert=glob
+  a
+  c/b/a
+  c/b/aaa
+
+"a**/b"convert=glob
+  a/b
+  ab
+
+"a/**b"convert=glob
+  a/b
+  ab
+
 #pattern convert=glob:glob_no_starstar
 
 /***/
diff --git a/testdata/testoutput24 b/testdata/testoutput24
index 9b4c11f..dd0f1bc 100644
--- a/testdata/testoutput24
+++ b/testdata/testoutput24
@@ -41,7 +41,7 @@
 # Now some actual tests
 
 /a?b[]xy]*c/
-(?s)\Aa[^/]b[]xy](*COMMIT)[^/]*?c\z
+(?s)\Aa[^/]b[\]xy](*COMMIT)[^/]*?c\z
     azb]1234c
  0: azb]1234c
 
@@ -143,15 +143,15 @@ No match
  0: ten
 
 /a[]]b/
-(?s)\Aa[]]b\z
+(?s)\Aa[\]]b\z
     a]b
  0: a]b
 
 /a[]a-]b/
-(?s)\Aa[]a\-]b\z
+(?s)\Aa[\]a\-]b\z
 
 /a[]-]b/
-(?s)\Aa[]\-]b\z
+(?s)\Aa[\]\-]b\z
     a-b
  0: a-b
     a]b
@@ -161,7 +161,7 @@ No match
 No match
 
 /a[]a-z]b/
-(?s)\Aa[]a-z]b\z
+(?s)\Aa[\]a-z]b\z
     aab
  0: aab
 
@@ -343,10 +343,10 @@ No match
 (?s)\A[^/]a[^/]/[^/]b[^/]\z
 
 /[a\\b\c][]][-][\]\-]/
-(?s)\A[a\\bc][]][\-][\]\-]\z
+(?s)\A[a\\bc][\]][\-][\]\-]\z
 
 /[^a\\b\c][!]][!-][^\]\-]/
-(?s)\A[^/a\\bc][^/]][^/\-][^/\]\-]\z
+(?s)\A[^/a\\bc][^/\]][^/\-][^/\]\-]\z
 
 /[[:alpha:][:xdigit:][:word:]]/
 (?s)\A[[:alpha:][:xdigit:][:word:]](?<!/)\z
@@ -389,6 +389,12 @@ No match
 
 /**\/abc/
 (?s)(?:\A|/)abc\z
+  abc
+ 0: abc
+  x/abc
+ 0: /abc
+  xabc
+No match
 
 /abc\/**/
 (?s)\Aabc/
@@ -420,6 +426,29 @@ No match
   xx/xx/xx/xax/xx/x
 No match
 
+"**a"convert=glob
+(?s)a\z
+  a
+ 0: a
+  c/b/a
+ 0: a
+  c/b/aaa
+ 0: a
+
+"a**/b"convert=glob
+(?s)\Aa(*COMMIT).*?/b\z
+  a/b
+ 0: a/b
+  ab
+No match
+
+"a/**b"convert=glob
+(?s)\Aa/(*COMMIT).*?b\z
+  a/b
+ 0: a/b
+  ab
+No match
+
 #pattern convert=glob:glob_no_starstar
 
 /***/
@@ -438,7 +467,7 @@ No match
 (?s)a
 
 /**a**/
-** Pattern conversion error at offset 2: invalid syntax
+(?s)a
 
 /a*b/
 (?s)\Aa(*COMMIT).*?b\z
@@ -456,7 +485,7 @@ No match
 (?s)\Aa\\b\\cd\z
 
 /**\/a/
-** Pattern conversion error at offset 2: invalid syntax
+(?s)\\/a\z
 
 /a`*b/convert_glob_escape=`
 (?s)\Aa\*b\z