The pitch, being run by the advertising and media manager, Chris Gottlieb, has reached the stage of chemistry meetings with potential agencies.
The brief for the account will be to bring both Lunn Poly and Thomson together as a brand, possibly seeing both of the existing brands renamed.
Last August, the German company Preussag bought Thomson Travel Group, the UK's largest package holiday company, for £1.8 billion, and created the largest travel company in the world, Preussag-Thomson.
TUI UK stated in January that it would not be reviewing media operations as part of its advertising review.
TUI UK merged the marketing departments for its Thomson and Lunn Poly brands last week. The restructure is part of a review of the business by Peter Rothwell, the new chief executive for TUI Northern Europe, which has led to 400 job losses.
Recent advertising for the Thomson brand through HHCL & Partners has used a costume drama theme starring the fictitious lovers Fanny and Daversham.
This article was first published on Campaign