diff --git a/markdown.php b/markdown.php
index c93d4b1..4fea25d 100644
--- a/markdown.php
+++ b/markdown.php
@@ -87,6 +87,9 @@ class markdown
     $replace[] = "<a href='\\1'>\\1</a>";
     $search[] = "#&lt;(.+@.+)&gt;#U";
     $replace[] = "<a href='mailto:\\1'>\\1</a>";
+    // The links must not allow the <em> : redo the conversion
+    $search[] = "#(<a href='.*)<em>(.*)</em>(.*'>.*)<em>(.*)</em>(.*</a>)#";
+    $replace[] = "\\1_\\2_\\3_\\4_\\5";
     // TODO : Links by reference :
     // Voici un petit texte écrit par [Michel Fortin][mf].
     // [mf]: http://michelf.ca/ "Mon site web"