There is an active demand to develop efficient nanoscale nonlinear sources for applications in photonic circuitry, quantum optics and biosensing. To this end, plasmonic systems have been utilized to boost the nonlinear signal generation, however high efficiencies of frequency conversion for realistic applications remain a challenge. Metal-insulator-metal (MIM) nanocavities are good candidates for strongly concentrating the fields at the nanoscale to enhance the optical nonlinearities, however they typically suffer from the requirement to have a quadrupolar resonance at the emission wavelength. Here, we introduce nonplanar MIM nanocavities with a nonlinear spacer that can strongly enhance the second harmonic generation (SHG) despite of having fundamental and emission modes of the same parity. Our experimental and numerical results indicate that the enhancement is due to the non-planar design of the cavities and the bulk nonlinearity of the spacer layer.The emergence and the rapid advance of nanophotonic systems allowed an unprecedented control of the optical modes and interactions at the nanoscale [1]. This has been especially beneficial for nonlinear optical processes as the subwavelength nature of these platforms has opened up a range of novel possibilities [2, 3]. For example, at the nanoscale the strict phase matching conditions are relaxed, unlocking a host of strongly nonlinear materials that cannot be used in the bulk [4][5][6]. Furthermore, the field confinement afforded by nanoresonators concentrates and enhances the local fields leading to greater increase in the efficiency of the nonlinear light-matter interactions [2]. Finally, the ability to control the spatial distribution and symmetry of optical modes at the nanoscale is important for the engineering of strong nonlinearities [7,8].In this context, plasmonic systems have been used extensively to confine the optical fields into deep subwavelength volumes and to enhance the nonlinear optical phenomena at the nanoscale. Various nonlinear processes have been shown to benefit from plasmonic enhancement including SHG, third harmonic generation, four wave mixing, optical Kerr effect [9][10][11][12][13][14][15][16][17][18][19][20][21][22]. MIM nanocavities are of particular interest as they can reproducibly achieve strong field enhancement in the thin insulating layer [23,24]. Moreover, the plethora of modes supported by MIM nanoresonators allows to design multi-resonant structures enhancing the optical fields at all the frequencies involved in the nonlinear process [10].2nd order processes such as SHG require inversion symmetry breaking for electron motion. The pure plasmonic structures are made of noble metals which possess centrosymmetric crystal lattice and thus the symmetry breaking is achieved at the material interface. Thus, the effective nonlinear susceptibility tensor element ⊥⊥⊥ (2) is typically the dominant source for nonlinearity [25]. The major drawback of this approach is that it requires the optical mode at the SHG frequency to have different ...