The pitch process is being run by Simon Dornan, head of customer PR at Dixons Carphone.
The account covers the entire group, which also includes the Currys and PC World brands.
The incumbent agencies are Edelman for Carphone Warehouse and M&C Saatchi PR for Currys and PC World, and both agencies are repitching for the new account.
Following the merger last year, PR is the final marcoms function to undertake this process.
In July, Diffusion was retained for the group's social media account.