Reporting on Inbound Messages
Recently received messages can be viewed in the inbox by going to Inbox, or by going to Messaging > Received for a list-view of messages received within the last 90 days
To the right of each message, provided the contact is not unsubscribed, you will see a "Quick Reply" button. Clicking on this will open the Quick Message feature, preloaded with the contact details of the sender of the inbound message to which you are replying. Notice that in the example above, the first message is from a contact who has been unsubscribed, and so the "Quick reply" button does not appear.
To learn how to view more detailed inbound message logs, read this article.
Note - data will not be displayed if no messages corresponding to the applied contact filter have been received