You can retrieve a full link to the session recording for the user currently being recorded in the browser by accessing the Inspectlet javascript object (__insp).
The deep link to a session looks like this: http(s)://www.inspectlet.com/dashboard/watchsession/{website-id}/{session-id}?pn=1
website-id = javascript variable __insp.wid, constant
session-id = javascript variable __insp.sid
Recording the Inspectlet session ID in your database (or passing it into another service) lets you link directly to a session recording for a user visit from your own backend or other dashboards.