I am having ASA 5520 used for ssl vpn link.
If i access ASDM with my local lan ,it works fine. But when i am connected to vpn with( 192.168.10.X) range , it doesnt open ASDM. This range is configured for asdm/https access as outside interface on the ASA.
if i am not wrong, the 192.168.10.X vpn range will be considered coming on outside interface of ASA to use the ASDM service.
Can you try "management-access"?
I am not sure if it will work with SSL VPN but for IPSec VPN, it should work.