  A variety of quantum systems exhibits Weyl points in their spectra where two
bands cross in a point of three-dimensional parameters space with conical
dispersion in the vicinity of the point. We consider theoretically the soft
constraint regime where the parameters are dynamical quantum variables. We have
shown that in general the soft constraints, in quasi-classical limit, result in
Weyl discs where two states are (almost) degenerate in a finite 2d region of
the 3d parameter space. We provide concrete calculations for two setups: Weyl
point in a four-terminal superconducting structure and a Weyl exciton, i.e., a
bound state of Weyl electron and a massive hole.
