The CSS Working Group invites implementation of an updated Candidate Recommendation of CSS Conditional Rules Module Level 3. This module contains the features of CSS for conditional processing of parts of style sheets, conditioned on capabilities of the processor or the document the style sheet is being applied to. It includes and extends the functionality of CSS level 2 [CSS21], which builds on CSS level 1 [CSS1]. The main extensions compared to level 2 are allowing nesting of certain at-rules inside @media, and the addition of the @supports rule for conditional processing. Comments are welcome by 15 January 2021.