  We discuss the relation between the linear Tschebyshev-Pad\'e approximations
to analytic function $f$ and the diagonal type I Hermite-Pad\'e polynomials for
the tuple of functions $[1,f_1,f_2]$ where the pair of functions $f_1,f_2$
forms certain Nikishin system. An approach is proposed of how to extend the
seminal Stahl's Theory for Pad\'e approximations for multivalued analytic
functions to the Tschebyshev-Pad\'e approximations. The approach is based on
the relation between Tschebyshev-Pad\'e approximations and Hermite-Pad\'e
polynomials and also on a connection of Hermite-Pad\'e polynomials and
multipoint Pad\'e approximants.
