We suggest connecting Mautic and Callingly via Zapier. However if you wish to use Webhooks instead, here are step-by-step instructions on how to accomplish this.
Create webhook in Mautic With event (Most likely Identified event which will be tied to a Mautic segment)
Run a "campaign" in Mautic for the segment that you wish to pass leads into Callingly. Select that segment and then select Decision > send to webhook.
Select the webhook you made in step 1.
Create a webhook on the integrations page within Callingly.
You'll see the webhook URL to paste into Mautic. Also, select the Team in Callingly you want leads routed to. Lastly, configure the webhook field names if necessary.
Going back to Mautic, use the picture below and be sure to map the "token generated" values in the Value Field. Make sure these are correctly mapped to the fields to the webhook created on the integrations page:
Make sure cron jobs are running for campaigns and your leads will Sync to Callingly
You can use Leads Bridge or Zapier to pass back call statuses into Mautic. Please ask support if you need more clarifications here.