  Using superspace techniques, we compute the mixed OPE between an ${\mathcal
N}=2$ stress-tensor multiplet, a chiral multiplet and a flavor current
multiplet. We perform a detailed analysis of the three-point function between
two of the mentioned multiplets and a third arbitrary operator. We then solve
all the constraints coming from the ${\mathcal N}=2$ superconformal symmetry
and from the equations of motion and/or conservation equations, and obtain all
the possible operators that can appear in the expansion. This calculation is
the first step towards a more general superconformal block analysis of mixed
correlators in ${\mathcal N}=2$ theories.
