The company has approached Karmarama, Leith, Clemmow Hornby Inge and Rainey Kelly Campbell Roalfe/Y&R about the task.
It is believed that a shortlist of two agencies will then be drawn up to go forward to another stage.
The review is being run by Adrian Clarke, Fuji UK's strategic business manager, and Michelle da Gama, the market development manager. The brief will centre on the promotion of Fuji's digital cameras in the run-up to the busy Christmas period.
Fuji UK last called a review in November 2000, at which time it appointed Mother after a four-way pitch against Partners BDDH, Walsh Trott Chick Smith and the incumbent, Impiric.
However, Fuji parted company with Mother more than a year ago following differences in opinion over the brand's creative strategy after Mother's presentation of campaign ideas. Fuji did not run any work through Mother before the two parted company.
Media planning and buying is understood not to be affected by the creative review, and will remain with Manning Gottlieb OMD.
No-one at Fuji was available to comment as Campaign went to press.