Over the week of 8 – 12 October 2018, Liverpool welcomed 2368 delegates from 146 countries, including HPSR scholars, practitioners, funders, policy actors, community activists and the media. This symposium commemorated anniversaries of two significant global health events – the Alma Ata declaration and the birth of the UK National Health Service. The Symposium’s Theme ‘Health Systems for All in the SDG Era’ encapsulates the spirit of these historical commitments and brings them forward into current debates and actions on the Sustainable Development Goals, and especially, Universal Health Coverage. Over five days, we engaged in vibrant exchanges facilitated through 125 parallel sessions, including oral presentations, 451 posters, several launches, and Thematic Working Group special sessions. Over half of the attendees were from LMIC settings, and representative of all regions of the world. This statement highlights the key reflections which emerged from the discussion and debate during this Symposium.