The Bath firm will design, personalise, print and distribute material as part of an extended contract with National Australia Bank (NAB).
It is moving from handling credit card statements to "outbound" material, such as direct mail and PIN advice.
Following the win, CFH added to recent spends with a 1.2m outlay on Oc laser kit to handle the extra workload. The new machines are two Variostream 7650s and two Pagestream 350s.
Mailers will go to the bank's UK companies, including Clydesdale Bank and Yorkshire Bank.
CFH commercial director Marian Cafferty said the company had handled credit card statements for NAB since 1998.
"We have moved forward to take on outward communications, including a wider range of direct mail," she said.
"CFH has used Oc as a technical partner for some time and the 7650s will be used for some duplex print and some simplex," she said.
CFH clinches banking deal worth millions
CFH has won a multi-million-pound contract to supply more than 70m personalised documents a year to bank customers, and is supporting the win with new kit.