  We present the solution of Schwinger-Dyson and Bethe-Salpeter equation (BSE)
for a light flawour non-singlet spinless meson in Minkowski space. The
equations are solved in momentum space without the use of the auxiliary
Euclidean space. To exhibit that Minkowski space non perturbative calculations
are actually possible is the main purpose of presented paper. According to
confinement, the quark propagator is regular in momentum space, which allows us
to look for the BSE solution directly in the Minkowski momentum space. We find
the Minkowski space solution for confining theories is not only numerically
accessible, but also provides a reasonable description of the pseudoscalar
meson system. However, in the case of scalar mesons, the model is less reliable
and we get more extra light states then observed experimentally.
