The account, which comprises the Peugeot, Citroën and DS brands, is currently held by Stack. In 2014, the agency created "Top tips", an augmented-reality app that offers advice and instructional videos.
Havas Worldwide and BETC Paris have created ads for Peugeot in the past year, while Citroën launched a spot in October created by French agency Les Gaulois.
OMD UK handles media planning and buying for PSA in the UK.
PSA announced in April that it would kick off a "major product blitz" for the Peugeot, Citroën and DS brands that would see 26 models launched globally by 2021.
At the time, PSA chief executive Carlos Tavares unveiled "Push to pass", a new strategy that included plans to roll out four fully electric models and a return to the US car market in ten years.
A Peugeot spokesman said: "I can confirm we are conducting agency reconnaissance, as we often do around this time of the year, to see who can best offer us specialist services (that include CRM) in order to maximise competitive opportunities. Only when this work is complete will we decide on how best to move forward."