I recently framed a very old ink drawing on reindeer skin that had a lacing of seal skin around the perimeter. I consulted with Hugh Phibbs on the project. Since the lacing around the perimeter was relatively thick and wouldn't buckle from the paste, I ended up using rice paper hinge strips and wheat paste applying the strips on all four sides float mounted to a smaller rag board then backed to another rag board for borders supported by cross grain polyflute boards behind for rigidity. Shadow box walls, frame and museum glass rounded out the package.
Hugh suggested that the wheat paste be applied liberally and attached a bit wetter than normal so as to have a bit of penetration to the leather for better adherance. This particular piece was fairly thick around the perimeter because of the seal skin lacing.
Also you should use unbuffered materials whenever working with organic materials.