The revamped Brno company still make Damascus barreled rifles. http://www.zbrojovkabrno.com/arms/sluzby.htm
Please look under the Exkluziv tab on this page. Contacting Brno is a headache because they rarely reply to e-mails and the only option is to call them. I would think hard before I decided to order a rifle from them because of their service despite whatever merits their quality may have. Brno also offer full damascus rifles where the action is also in damascus.

The Swedish Damasteel company www.damasteel.se produces damascus steel for barrels but only Flodman in Sweden uses them for their O/U shotguns www.flodman.com Damasteel also produce the slides for Caspian Arms' superb 1911 type 45 ACP damascus pistols.

I had some correspondence with Damasteel's Sales Manager Per Billgren some years ago and he told me that he did have steel for rifle barrels but that tey ahd not been able to find buyers for it.

Good hunting!