The new machine complements an existing six-year-old 3050 Indigo machine at the Ashford, Middlesex business, which also offers warehousing and distribution services.
Siren's proximity to Heathrow Airport has enabled the company to attract a growing number of international businesses to its service offering, as well as the airport itself.
Mark Leyshon, founder and managing director of Siren-phd, said: "With our airport location, we're well-placed to offer a range of services to the many large, international organisations that are based here.
"We're so close to the airport that we enjoy a later close-out from the international couriers for delivery to them than printers further away."
According to Leyshon, its increased digital capacity will help cater for a range of print products such as presentations, prospectuses, invitations, posters and promotional flyers.
He added: "When choosing the digital presses, I was keenly aware that my target customers were international companies, so I had to be able to produce top quality print."
"Looking at the market, the quality wasn't there except in the HP Indigo presses. The technology is also very clean and IT-orientated, so it fits in with our operational understanding."
Siren-phd, which was established in 1982, started life as a warehousing and distribution business with a digital print offering courtesy of an Indigo Ultrastream machine, which was replaced by the 3050 press in 2005.
Siren-phd increases digital capacity with HP Indigo 5500 investment
Siren-phd has expanded its digital print capabilities after investing in its second HP Indigo digital press, a 5500.