Exhibit 99.1 Poseida Therapeutics Provides Updates and Financial Results for the Fourth Quarter and Full Year 2023 Lead asset P-BCMA-ALLO1 Phase 1 clinical trial data presented at ASH 2023 demonstrated 82% ORR and favorable emerging safety and reliability profile Initiated clinical trial of Phase 1 P-CD19CD20-ALLO1, the Company’s first allogeneic dual CAR-T program Allogeneic CAR-T data to be presented at AACR in April 2024 describing activity of P-BCMA-ALLO1 in BCMA-experienced patients and comparison of l ...