The group will now be split into three separate hubs: Publicis, Publicis Dialogue and Publicis Modem.
Paul Edwards, the chief strategy officer at Publicis, is also leaving the company to become the UK chairman of Research International, the WPP-owned consumer market research agency.
Richard Pinder, the chief operating officer at Publicis Worldwide, is looking for a group chief executive, to be appointed by the end of July. At the same time, he plans to announce the appointment of a managing director for the creative agency.
Lindsay's departure last month to take over as the chief executive of the TBWA Group UK marked the end of a torrid six-month period for Publicis that saw the ad agency lose its chief executive, Grant Duncan, and a number of clients including MFI, Asda and the Post Office.
In light of the restructure, Kim Douglas, the head of planning at Publicis, will become the executive planning director of the creative agency, while Marcus Reynolds, the planning director at Publicis Dialogue, becomes the head of planning at the DM arm.