So far, the only majority seen in the UK Parliament is that for avoiding a ‘hard Brexit’ (no-deal), as reflected by recent efforts in the UK Parliament to hinder such an outcome through legislation. And that creates room for PM May to reach out for consensus to the various factions. This could take the form of promises to empower Parliament in the future Brexit process (e.g. allowing them to vote on whether to extend the transition period in 2020), negotiations with Labour or holding indicative votes to gauge which 'deal tweaks' would attract the support of a majority of MP’s.