\; \simeq \; 10^{-22}\text{cm}^{3}\text{s}^{-1}.$$

Aim of this work is to understand if, as claimed in [@Ch], neutrino oscillations can be used to test collapse models, and in particular to improve the upper bounds on the collapse strength $\gamma$. The idea is the following: it is well known that, since flavour eigenstates are linear superposition of mass eigenstates, standard quantum mechanics predicts neutrino oscillations. In the CSL model the dynamics is driven by Eq. , which differs from the Schrödinger equation for the two terms accounting for the collapse in space of the wave function. As a consequence, the CSL model predicts a different time evolution of mass eigenstates with respect to that of standard quantum mechanics. This implies, as an indirect consequence, that also flavour eigenstates evolve differently, and therefore that neutrinos are expected to oscillate in a different manner. In some sense, it is as if neutrinos were traveling through a random medium, instead of free space. It is well known that neutrino oscillations are affected by a random medium [@Sm1; @Sm2]. However, we stress that this is more a mathematical analogy as in our case the origin of the randomness is different, and is due to the spontaneous 