The authority has issued a warning about Yorskhire-based Derrick Hales Financial Planning, which regulators previously fined £10,500 for breaches in advice and sales processes.
The FCA said: "We believe this firm has been providing financial services or products in the UK without our authorisation."
The £10,500 fine was issued in 2008 by the FCA's predecessors at the Financial Services Authority.
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The FSA said at the time of the fine: "These breaches relate to failings in DHFP's advice and sales processes which resulted in customers being advised to purchase geared traded endowment policies in default of evidence that such sales were suitable."
The FCA has issued a list of other firms, which it said have been providing financial services or products in the UK without its authorisation.
These were:
• London-based Brookes and Hargreaves
• New York-based Summers Associates Limited
• Web-based Euro Nano Inv
• London-based Phoenix Associates Limited
• London-based Redford Securities International
• New York-based Manhattan Finance Company
• Hemingfield-based Keystone Asset Management Limited.