We report the discovery of a very diverse set of five low-surface brightness (LSB) dwarf galaxy candidates in Hickson Compact Group 90 (HCG 90) detected in deep U- and I-band images obtained with VLT/VIMOS. These are the first LSB dwarf galaxy candidates found in a compact group of galaxies. We measure spheroid half-light radii in the range $0.7!lesssim! r_{rm eff}/{rm kpc}! lesssim! 1.5$ with luminosities of $-11.65!lesssim! M_U! lesssim! -9.42$ and $-12.79!lesssim! M_I! lesssim! -10.58$ mag, corresponding to a color range of $(U!-!I)_0!simeq!1.1!-!2.2$ mag and surface brightness levels of $mu_U!simeq!28.1,{rm mag/arcsec^2}$ and $mu_I!simeq!27.4,{rm mag/arcsec^2}$. Their colours and luminosities are consistent with a diverse set of stellar population properties. Assuming solar and 0.02 Z$_odot$ metallicities we obtain stellar masses in the range $M_*|_{Z_odot} simeq 10^{5.7-6.3} M_{odot}$ and $M_*|_{0.02,Z_odot}!simeq!10^{6.3-8},M_{odot}$. Three dwarfs are older than 1 Gyr, while the other two significantly bluer dwarfs are younger than $sim 2$ Gyr at any mass/metallicity combination. Altogether, the new LSB dwarf galaxy candidates share properties with dwarf galaxies found throughout the Local Volume and in nearby galaxy clusters such as Fornax. We find a pair of candidates with $sim!2$ kpc projected separation, which may represent one of the closest dwarf galaxy pairs found. We also find a nucleated dwarf candidate, with a nucleus size of $r_{rm eff}!simeq!46!-!63$ pc and magnitude M$_{U,0}=-7.42$ mag and $(U!-!I)_0!=!1.51$ mag, which is consistent with a nuclear stellar disc with a stellar mass in the range $10^{4.9-6.5},M_odot$.
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