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The actor is alleged to have launched the attack outside the Groucho Club after Paul McElfatrick called him Jonathan Creek, referring to his character in the BBC detective series of the same name.
Witnesses claimed McElfatrick screamed as Davies bit his ear for around 13 seconds before being pulled away by two women and a man.
McElfatrick said: "I thought he was going to whisper something but his face darkened and he almost spat out the words, 'My name's Alan. You know my name - Alan. What's my name? It's Alan'.
"Then he suddenly went for my left ear. It was incredibly painful. I shrieked and my eyes were watering. He hung on and drew blood."
Davies, a regular on panel show QI, claimed that McElfatrick was the first to become aggressive. He has since apologised for the attack, putting his behaviour down to excessive alcohol consumption.
