We define two functors from Elias and Khovanov's diagrammatic Soergel category, one targeting Clark-Morrison-Walker's category of disoriented sl(2) cobordisms and the other targeting the category of (universal) sl(3) foams.
Dos Santos Santana Forte Vaz, P. (2010). The Diagrammatic Soergel Category and sl(2) and sl(3) Foams. International Journal of Mathematics and Mathematical Sciences, 2010, 1-23. https://doi.org/10.1155/2010/612360 (Original work published 2010)