  We study the finite-size effects on the BCS-BEC crossover in two dimensions,
occurring in confined fermionic superfluids. We analyze several thermodynamic
properties, such as the chemical potential, the energy gap and the superfluid
density, taking into account unavoidable quantum fluctuations, and, by means of
renormalization group procedure, we detect the putative
Berezinskii-Kosterlitz-Thouless phase transition at finite-size.
