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The studies of a number of systems treated in terms of an inhomogeneous(spatially separated) Fermi-Bose mixture with superconducting clusters ordroplets of the order parameter in a host medium with unpaired normal statesare reviewed. A spatially separated Fermi-Bose mixture is relevant tosuperconducting BaKBiO3 bismuth oxides. Droplets of the order parameter canoccur in thin films of a dirty metal, described in the framework of thestrongly attractive two-dimensional Hubbard model at a low electron densitywith a clearly pronounced diagonal disorder. The Bose-Einstein condensatedroplets are formed in mixtures and dipole gases with an imbalance in thedensities of the Fermi and Bose components. The Bose-Einstein condensateclusters also arise at the center or at the periphery of a magnetic trapinvolving spin-polarized Fermi gases. Exciton and plasmon collapsing dropletscan emerge in the presence of the exciton-exciton or plasmon-plasmoninteraction. The plasmon contribution to the charge screening in MgB2 leads tothe formation of spatially modulated inhomogeneous structures. In metallichydrogen and metal hydrides, droplets can be formed in shock-wave experimentsat the boundary of the first-order phase transition between the metallic andmolecular phases. In a spatially separated Fermi-Bose mixture arising in anAharonov-Bohm interference ring with a superconducting bridge in atopologically nontrivial state, additional Fano resonances may appear andcollapse due to the presence of edge Majorana modes in the system.

Formation of droplets of the order parameter and superconductivity in inhomogeneous Fermi-Bose mixtures (Brief review)