We present the first report on the effect of hydrostatic pressure on colloidally stabilized lipid nanoparticles enveloping inverse non-lamellar self-assemblies in their interiors. These internal self-assemblies were systematically tuned into bicontinuous cubic (Pn3m and Im3m), micellar cubic (Fd3m), hexagonal (H2), and inverse micellar (L2) phases by regulating the lipid-oil ratio while the hydrostatic pressure was varied from atmospheric pressure to 1200 bar, and back to the atmospheric pressure. The pressure effect on these lipid nanoparticles was compared with their equilibrium bulk, non-dispersed counterparts, i.e. inverse nonlamellar liquid crystalline phases and micellar solutions under excess water conditions using synchrotron small angle X-ray scattering (SAXS) technique. In the applied pressure-range, induced phase transitions were solely observed in fully hydrated bulk samples; whereas the internal self-assemblies of the corresponding lipid nanoparticles displayed only pressuremodulated single phases. Interestingly both, the lattice parameters and linear pressure expansion coefficients were larger for the self-assemblies enveloped inside the lipid nanoparticles as compared to the bulk states. This can in part be attributed to enhanced lipid layer undulations in the lipid particles in addition to induced swelling effects in presence of the tri-block copolymer F127. The bicontinuous cubic phases in both bulk state and inside lipid cubosome nanoparticles swell on compression, even so both keep swelling further on decompression at relatively high pressures before shrinking again at ambient pressures.Pressure dependence of the phases is also modulated by the concentration of the solubilized oil (tetradecane). These studies demonstrate the tolerance of lipid nanoparticles (cubosomes, hexosomes, micellar cubosomes, and emulsified microemulsions (EMEs)) for high pressures proving their robustness for various technological applications.3