The Continental Hockey League registered Hudler's two-year, $10 million contract Thursday morning in Moscow.
The KHL previously filed Hudler's contract July 9 but held off on the deal pending negotiations with the NHL.
A statement from the KHL cites the NHL's attempt to sign KHL players as a reason for the filing.
Hudler's agent and Red Wings representatives attended a salary arbitration hearing Thursday morning in Toronto. The result of that hearing will determine Hudler's future contractual obligation to the Red Wings.
Detroit general manager Ken Holland says the team expects a ruling in the next few days.