This study investigates the pressure-induced splitting of density wave (DW) transitions in La3Ni2O7−δ, revealing the coexistence of spin density wave (SDW) and possibly charge density wave (CDW) orders. Using muon-spin rotation/relaxation (μSR) combined with dipole-field analysis, the researchers observed commensurate static magnetic order below TN ≈ 151 K at ambient pressure, consistent with a stripe-type arrangement of Ni moments. Under pressure, the magnetic ordering temperature increased at a rate of dTN/dp ≈ 2.8 K/GPa, opposite in sign and smaller in magnitude compared to the DW order changes reported by Wang et al. The results suggest that the ground state of La3Ni2O7−δ consists of two distinct orders—SDW and CDW—with a notable pressure-induced separation between them. The findings highlight the complex interplay between magnetism and superconductivity in this nickel oxide system, offering new insights into the nature of competing phases in high-temperature superconductors. The study also demonstrates that the DW order is likely non-magnetic in origin, contrasting with the magnetic SDW order. The pressure-induced splitting of DW transitions suggests a decoupling between the two orders, which is distinct from the intertwined spin and charge orders observed in cuprates and hole-doped nickelates. The results contribute to a deeper understanding of the electronic properties and superconducting mechanism in La3Ni2O7−δ.This study investigates the pressure-induced splitting of density wave (DW) transitions in La3Ni2O7−δ, revealing the coexistence of spin density wave (SDW) and possibly charge density wave (CDW) orders. Using muon-spin rotation/relaxation (μSR) combined with dipole-field analysis, the researchers observed commensurate static magnetic order below TN ≈ 151 K at ambient pressure, consistent with a stripe-type arrangement of Ni moments. Under pressure, the magnetic ordering temperature increased at a rate of dTN/dp ≈ 2.8 K/GPa, opposite in sign and smaller in magnitude compared to the DW order changes reported by Wang et al. The results suggest that the ground state of La3Ni2O7−δ consists of two distinct orders—SDW and CDW—with a notable pressure-induced separation between them. The findings highlight the complex interplay between magnetism and superconductivity in this nickel oxide system, offering new insights into the nature of competing phases in high-temperature superconductors. The study also demonstrates that the DW order is likely non-magnetic in origin, contrasting with the magnetic SDW order. The pressure-induced splitting of DW transitions suggests a decoupling between the two orders, which is distinct from the intertwined spin and charge orders observed in cuprates and hole-doped nickelates. The results contribute to a deeper understanding of the electronic properties and superconducting mechanism in La3Ni2O7−δ.