Semin, who made $6.7 million this past season, is expected to command a salary in the $5.5 million to $6 million range, though it's unclear if there is a team interested and willing to sign him for more.
A source told TFP that KHL club CSKA has offered Semin a multi-year contract worth close to the salary he made this year, and while other KHL teams are also interested in signing him, his priority is to remain in the NHL.
Red Wings GM Ken Holland has spoken to several players, and their representatives, since July 1, but has been unable to lure a big name to Detroit.
Holland is also exploring the trade route, though it's believed he's primarily fishing for a defenseman. The Wings are believed to be interested in Calgary's Jay Bouwmeester and Phoenix's Keith Yandle.
The Wings are also interested in Coyotes captain Shane Doan, who could sign with another team other than Phoenix if the team's ownership picture isn't clearer later today.