I have plugged my 9790 in DM and it says that there are no updates available.
I note from other postings that 7.1 is available for the 9900, just wondered if it was coming to the 9790 also.
That depends, is your 9790 a o2 branded handset or from another network or a sim free one? You can find out by watching carefully after the bb loading screen at start up it should either tell you what network branding your phone is.
When I do a battery pull restart, there is no operator logo displayed so I can only presume that the phone is SIM free and there are no brand names on the casing of the phone.