  If ${\mathfrak g}$ is a real reductive Lie algebra and ${\mathfrak h} <
{\mathfrak g}$ is a subalgebra, then $({\mathfrak g}, {\mathfrak h})$ is called
real spherical provided that ${\mathfrak g} = {\mathfrak h} + {\mathfrak p}$
for some choice of a minimal parabolic subalgebra ${\mathfrak p} \subset
{\mathfrak g}$. In this paper we classify all real spherical pairs $({\mathfrak
g}, {\mathfrak h})$ where ${\mathfrak g}$ is semi-simple but not simple and
${\mathfrak h}$ is a reductive real algebraic subalgebra. The paper is based on
the classification of the case where ${\mathfrak g}$ is simple (see
arXiv:1609.00963) and generalizes the results of Brion and Mikityuk in the
(complex) spherical case.
