Around 50 agencies have been contacted about whether they want to express an interest in the account.
A shortlist of agencies will be drawn up at a later date, with an appointment expected before Christmas.
The brief, which is currently held by Lansons, covers the work of the Isle of Man Government’s Cabinet Office and Department of Economic Development.
It includes the promotion of different business sectors and the island’s international reputation. The Isle of Man is understood to be keen to distance itself from associations with tax havens, particularly since the release of the Panama Papers leaks from Panamanian law firm Mossack Fonseca earlier this year.
The tender coincides with the arrival of a new Government on the Isle of Man following elections last month; a new Council of Ministers was appointed earlier this week. However, the timing is said to be coincidental because it is a cyclical tender process.
The Isle of Man Government declined to comment.