  In this work, we study compactifications of 6d $(1,0)$ SCFTs, in particular
those of conformal matter type, on K\"ahler 4-manifolds. We show how this can
be realized via wrapping M5 branes on 4-cycles of non-compact Calabi-Yau
fourfolds with ADE singularity in the fiber. Such compactifications lead to
domain walls in 3d $\mathcal{N}=2$ theories which flow to 2d
$\mathcal{N}=(0,2)$ SCFTs. We compute the central charges of such 2d CFTs via
6d anomaly polynomials by employing a particular topological twist along the
4-manifold. Moreover, we study compactifications on non-compact 4-manifolds
leading to coupled 3d-2d systems. We show how these can be glued together
consistently to reproduce the central charge and anomaly polynomial obtained in
the compact case. Lastly, we study concrete CFT proposals for some special
cases.
