The recent trend for indirect-geometry broadband neutron spectrometers to fully exploit available neutrons at pulsed spallation sources, seeks to improve their performance via the use of large-area curved analysers, which focus neutrons in time, energy and space. Herein, we describe ongoing, joint efforts between CNR (IT) and ISIS (UK) aimed at future upgrades of TOSCA at ISIS, that are also essential for the design, and subsequent construction, of VESPA at the ESS. Such an improvement in performance arises from both a larger detector coverage using a curved geometry, as well as appropriate tuning of analyser-crystal characteristics. To achieve high resolution over the entire spectral range of 0-500 meV, timefocusing of neutrons from the sample to the detector must be achieved within tight tolerances. The effect of graphite mosaicity and its variation from crystalto-crystal across the whole analyser, as well as the impact of manufacturing tol