Levy discovered Chelsea's interest in Arnesen two weeks' ago though there are suspicions of contact being made much earlier.
They are even threatening to enforce Arnesen's contract and make him spend the next two years on "gardening leave".
Tottenham take the view that Arnesen's shrewd recruitment over the past year has already added millions to the value of the squad and the compensation should reflect the revenue they will now lose for that service over the remaining two years of his contract.
Given the strong wording of the club statement which accused Chelsea of a "direct breach of FAPL rules", the club are obliged to make a formal compaint to the Premier League.
The thrust of their case is a fax sent to the club on 21 May asking permission to speak to the Dane which was also copied to Arnesen.
They claim Chelsea broke rule U10 - relating to a club inducing an employee of another club "to terminate a contract of employment" - because Spurs were not informed before Arnesen.