Example embodiments are presented for codebook subset restriction and precoder selection in wireless communications systems. For instance, an example method (300) for codebook subset restriction at a user equipment (UE) (102) is presented. In the example method, the UE (102) can receive, from a network node (106) such as a gNB, codebook subset restriction (CBSR) signaling for a first component (128) common to precoders in a first group of codebooks (118). In an aspect of the present disclosure, a restriction of the first component (128) maps to a restriction of a second component and the second component (130) is common to precoders in a second group of codebooks (120). In addition, the example method includes restricting precoders selectable from a codebook in the second group of codebooks (120) based on the second component (130). Network-side methods are presented, as well as example UEs (102) and network nodes (106).