We present ongoing work on the $J^P=1/2^-$ hyperons from meson–baryon scattering in lattice QCD. The $\Lambda(1405)$ is studied on CLS ensembles with 2+1 flavours and $m_\pi=285$ MeV, $m_K=460$ MeV, extending an earlier work where two poles were identified. Single- and two-hadron operators are considered at rest and in moving frames. Preliminary results are also shown for the $\Xi(1/2^-)$ channel, including three open scattering thresholds. The importance of extended operators in the determination of the baryon spectrum is discussed as well.