The register
The register lists Falcon Purchasing Services Limited in London as a licensed sponsor on Skilled Worker, an entry that goes back to at least 2026. The register records its rating as Worker (A rating).
Falcon Purchasing Services Limited is the registered name (Companies House number 03307467), a private limited company on the register since 1997. The registered office is at 3rd Floor 36 Dover Street, London, W1S 4NH, W1S 4NH. Its filed activity puts it in finance and insurance. It has traded under other names before, including Phoenixflame Limited.
A licence says an organisation may sponsor; it does not say it is hiring today. The way to find out is the same as for any employer: the careers page, the job boards, and a direct approach with a UK-style CV that says early that sponsorship would be needed.