diff --git a/ChangeLog b/ChangeLog
index b3cefcbd7..cc977b484 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -19,6 +19,10 @@ Security
      resumption of the session).
    * Verify results of RSA private key operations to defend
      against Bellcore glitch attack.
+   * Fix a buffer overread in ssl_parse_server_key_exchange() that could cause
+     a crash on invalid input.
+   * Fix a buffer overread in ssl_parse_server_psk_hint() that could cause a
+     crash on invalid input.
 
 Features
    * Extend PKCS#8 interface by introducing support for the entire SHA
@@ -56,6 +60,10 @@ Bugfix
    * Fix memory leak in RSA self test.
    * Fix X509 CRT parsing that would potentially accept an invalid tag when
      parsing the subject alternative names.
+   * Fix a possible arithmetic overflow in ssl_parse_server_key_exchange()
+     that could cause a key exchange to fail on valid data.
+   * Fix a possible arithmetic overflow in ssl_parse_server_psk_hint() that
+     could cause a key exchange to fail on valid data.
 
 Changes
    * Clarified the documentation of mbedtls_ssl_setup.
diff --git a/library/ssl_cli.c b/library/ssl_cli.c
index 94c521dd9..c0c424bef 100644
--- a/library/ssl_cli.c
+++ b/library/ssl_cli.c
@@ -1850,10 +1850,16 @@ static int ssl_parse_server_psk_hint( mbedtls_ssl_context *ssl,
      *
      * opaque psk_identity_hint<0..2^16-1>;
      */
+    if( (*p) > end - 2 )
+    {
+        MBEDTLS_SSL_DEBUG_MSG( 1, ( "bad server key exchange message "
+                                    "(psk_identity_hint length)" ) );
+        return( MBEDTLS_ERR_SSL_BAD_HS_SERVER_KEY_EXCHANGE );
+    }
     len = (*p)[0] << 8 | (*p)[1];
     *p += 2;
 
-    if( (*p) + len > end )
+    if( (*p) > end -len )
     {
         MBEDTLS_SSL_DEBUG_MSG( 1, ( "bad server key exchange message "
                                     "(psk_identity_hint length)" ) );
@@ -2236,10 +2242,17 @@ static int ssl_parse_server_key_exchange( mbedtls_ssl_context *ssl )
         /*
          * Read signature
          */
+        if( p > end - 2 )
+        {
+            MBEDTLS_SSL_DEBUG_MSG( 1, ( "bad server key exchange message" ) );
+            mbedtls_ssl_send_alert_message( ssl, MBEDTLS_SSL_ALERT_LEVEL_FATAL,
+                                            MBEDTLS_SSL_ALERT_MSG_DECODE_ERROR );
+            return( MBEDTLS_ERR_SSL_BAD_HS_SERVER_KEY_EXCHANGE );
+        }
         sig_len = ( p[0] << 8 ) | p[1];
         p += 2;
 
-        if( end != p + sig_len )
+        if( p != end - sig_len )
         {
             MBEDTLS_SSL_DEBUG_MSG( 1, ( "bad server key exchange message" ) );
             return( MBEDTLS_ERR_SSL_BAD_HS_SERVER_KEY_EXCHANGE );