Check this thread.https://supportforums.cisco.com/thread/2040973 Also,http://www.cisco.com/en/US/docs/security/asa/asa81/config/guide/mgaccess.htmlPer the above document you still need an additional statement:privilege [show | clear | cmd] level leve...
In ASDM you would go to "Configuration" -> "Device Management" -> "Management Access" -> "SNMP". On the "SNMP Managemnt Stations" add the Server that is allowed to get (poll) the data from ASA.From CLI:snmp-server host [Interface] [Server-IP] [trap/...