Methods and apparatuses for determination of a transmission configuration indication (TCI) state in a wireless communication system. A method for operating a user equipment (UE) includes receiving, in a first control resource set (CORESET), a downlink control information (DCI) indicating a first TCI state and receiving, in a radio resource control (RRC) signaling, (i) a first indicator configuring a value of coresetPoolIndex associated with the first CORESET and (ii) a second indicator. The method further includes identifying, based on the first indicator, an association between the value of coresetPoolIndex and the first TCI state; identifying, based on the second indicator, whether a simultaneous reception before an indicated TCI state is applicable is enabled; and determining, based on the identifications, one or more spatial filters for receiving a physical downlink shared channel (PDSCH) before the indicated TCI state is applicable, wherein the PDSCH is associated with the value of coresetPoolIndex.