You can try Dossier chat which uses Slack as the manager/responder for chats and syncs to HubSpot CRM. The native Slack app puts all website chats in Slack channels and you manage the entire conversation in Slack. From the Slack app directory (https://www.dossier.work/chat/
Dossier syncs incoming and outgoing email, messaging and website chat, and organizes documents, tasks and more into intelligent Slack channels that are synced with Gmail, Outlook, Asana, HubSpot, Salesforce, Salesforce Chatter, Microsoft Dynamics, Zendesk, Box, Dropbox, Google Drive and OneDrive.
Here’s how the chat works with HubSpot. When visitors get identified by email, then the contact, his/her company, and email conversations get added to HubSpot. There’s a video on how the website chat works with Slack.
Dossier chat in the Slack mobile app