At the Paul Scherrer Institute, the muCool device is being developed to compress the 6D phase space of a standard $\mu^{+}$ beam by a factor of $10^9$ with up to $10^{-4}$ efficiency. Efficient compression has been observed using a cryogenic helium gas target and complex geometry of $E$ and $B$-fields. Once compressed, the beam has to be extracted through a windowless orifice into vacuum and a field-free region. This article outlines the status of the muCool device with a focus on the muons extraction stage, currently under development.