Instead of specifying a conversation id when replying, you can also reply to the most recent conversation for a user at https://api.intercom.io/conversations/last/reply:
Replying to the Users Most Recent Conversation
# Send a reply from admin 1234 to a user's last conversation
$ curl https://api.intercom.io/conversations/last/reply \
-X POST \
-H 'Authorization:Bearer <Your access token>' \
-H 'Accept:application/json' \
-H 'Content-Type:application/json' -d'
{
"intercom_user_id": "536e564f316c83104c000020",
"body": "Let me know if you have any more questions!",
"type": "admin",
"admin_id": "1234",
"message_type": "comment"
}'
<?php
$intercom->conversations->replyToLastConversation([
"intercom_user_id" => "5977303470ab497b1babb9ef",
"body" => "I am the wisest man alive, for I know one thing, and that is that I know nothing.",
"type" => "user",
"message_type" => "comment"
]);
?>