Levein last week announced he was seeking legal advice after being "relieved of his duties" by the SFA, who said they would continue to honour his contract, which has 20 months to run.
SFA chief executive Stewart Regan said: "Craig is entitled to his opinion. We made it very clear that Craig's contract had not been terminated, that his terms and conditions would be honoured up to the end of the contract in June 2014.
"It's a legally binding contract and that was our position that we set out very clearly last Monday night.
"Craig has taken legal advice which he is entitled to do and the matter is now being dealt with between Craig's lawyers and the Scottish FA's lawyers."
In a statement issued last Wednesday night, Levein said: "I note the position as stated by the Scottish Football Association but do not concur and I am currently taking legal advice as to my options."