The European Space Agency has published a tender aimed at beginning the development of a very high-thrust rocket engine for future heavy-lift launch vehicles.Article:
Here's the actual tender: https://esastar-publication-ext.sso.esa.int/ESATenderActions/details/71553"for the heavy liftcapability" implies that this tender is, indeed, to power something like EHLL.However, it could also serve for other purposes. It's similar in thrust to DLR's "SpaceLiner Main Engine", which they proposed would power a large winged RLV. It's also about twice the thrust of a Vulcain or Prometheus engine, so it could power a future upgrade of Ariane 6. In any case, the tender serves "to elaborate further the concept and de-risk the enablingtechnologies and infrastructures at the basis of such a very high thrust propulsion building block". In other words, "write a few papers". Don't expect any actual hardware until money is allocated at the 2025 ministerial council..