Well, not backgammon actually, but some 13th-century predecessors.
This page from Alfonso's Book of Games Shows a version of Tables with 7 points in each quandrant, and three 7-sided dice. The dice are pentagonal prisms, with the 6 and 7 on the pentagonal ends. Alfonso also described d7s that were 7-sided prisms.
With either 7-sider, since the die can land with a vertex up, use the face closest to the player, re-rolling if there is doubt.