J. Pure Appl. Algebra 214 (2010), no. 12, 2265-2278.
I find a presentation of Soergel category (as a tensor category) by generators and relations in the right-angled Coxeter group case. This problem was solved in complete generality in the beautiful paper Soergel calculus. In simple words, this could be summarized as “how to draw Soergel bimodules”.