Methods, systems, and devices for wireless communications are described. A user equipment (UE) may transmit a capability report to a base station indicating a triggering offset. The base station may configure the UE with one or more channel state information (CSI) measurement resources and send downlink control information (DCI) that triggers an aperiodic CSI report for some of the CSI measurement resources. The UE may report CSI by measuring the CSI resources after the triggering offset. In some cases, CSI reporting related to the different codebook types (e. g., Type I, Type II) may be modified, where after identifying a type of codebook and determining which type of codebook to process (e. g., based on a number of CSI processing units), the UE may identify a priority associated with different CSI reports. The UE may be configured with various parameters that relax or modify the processing of Type II CSI reports.