В Asterisk есть простой демон HTTP, который используется Asterisk GUI и AJAM.

Пример файла http.conf:
;--------------------------------------------------------------------------------;
; Do NOT edit this file as it is auto-generated by FreePBX. All modifications to ;
; this file must be done via the web gui. There are alternative files to make ;
; custom modifications, details at: http://freepbx.org/configuration_files ;
;--------------------------------------------------------------------------------;
;

[general]
enabled=yes
enablestatic=no
bindaddr=127.0.0.1
bindport=8088
prefix=asterisk