Production of Dunhill Blends has come to an end.

Sad news.  And thanks for quoting, by the way, so we don't have to click that link!  

BAT actually owns the brand name? Or it's licensed to them by Dunhill?  My understanding was the same as papipeguy's - that they want to concentrate on non-tobacco luxury goods with the Dunhill label, and that tobacco products are small potatoes. 

BAT owns Dunhill brand cigarettes, cigars, and pipe tobacco.  All other Dunhill brand stuff is owned by a company with a French name.  If you do some searching, there have been threads on various forums that give the name.

I pulled the following from another thread from a while back. It may help complement what's been said here:

Dunhill tobacco and Dunhill pipe brands are owned by two totally separate companies. Dunhill cigarettes, cigars, and pipe tobacco are owned by British American Tobacco. BAT officially announced in January 2017 that as part of their merger with RJR, they would be exiting the Dunhill cigar and pipe tobacco business and that the process was expected to take 12 to 18 months. The general hope in pipe land has been that STG would buy the license for Dunhill pipe tobacco from BAT. However, that's still just hope as there have been no further announcements from BAT since last January.

Adding some context to year words of wisdom the whole story, as I can best surmise, goes something like this: There's a Southafrican named Johann Rupert who years ago bought Dunhill and split it's assets between two of his companies: Compagnie Financière Richemont SA (which owns luxury lifestyle brands) and Reinet Investments S.C.A. (which is an investment fund anchored by a big chunk of BAT stock). Dunhill Tobacco, under licence to BAT, had production of its cigars outsourced to General Cigar Company and its pipe tobacco to STG. Recently BAT bought the outstanding shares in RJR as part of a long term trend of consolidation within the tobacco industry. BAT is betting that the future of tobacco lies in vaporizing whilst Johann Rupert is seeking to expand the Dunhill lifestyle brand from mostly Europe to the Middle East, Canada, and the Far East where Dunhill tobacco is pretty unknown and doesn't figure that tobacco goes with the young, bold, english gentleman theme he's selling. Consequently Dunhill tobacco, as a brand, is kind of outside of everyone's eye and so BAT is going to let the production licence agreements lapse figuring that the brand is too small potatoes. The Dunhill cigarettes are going to apparently stick around given their consolidated position in the European luxury market but their being folded into a division with Rothman's and other lines at BAT. As Reinet Investments S.C.A. is the owner of the Dunhill pipe tobacco recipes it's not certain whether they'd be willing to sell them considering their apparently not willing to sell the rights to the Dunhill tobacco name as it could affect the Dunhill lifestyle brand.