The infinite-layer nickelates and cuprates represent two compelling families of materials for exploring unconventional superconductivity and correlated electronic phenomena. I will discuss recent advances in understanding the electronic structure of infinite-layer nickelates, focusing on insights from dynamical mean-field theory (DMFT) and their comparison with experimental findings ([1]) from angle-resolved photoemission spectroscopy (ARPES). This helps [2] constrain possible scenarios for their electronic states. In particular, there is only one Ni orbital crossing the Fermi surface. Additionally, I will present ongoing investigations into superconductivity in both nickelates and cuprates, based on the dynamical vertex approximation (DΓ A [3], [4]). Funding through the FWF project I5398 is gratefully acknowledged. [1] W. Sun et al., arXiv:2403.07344 (2024). [2] L. Si et al., Phys. Rev. Res. 6, 043104 (2024). [3] G. Rohringer et al., Rev. Mod. Phys. 90, 025003 (2018). [4] M. Kitatani et al., J. Phys. Mater. 5, 034005 (2022).