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The NFL free agent signing period is now almost a week old. While most of the top available players have been signed by teams, there are still quite a few good players out there- including a couple of guys that could really help the Titans.
Obviously Elvis Dumervil is at the top of that list. It has been reported that the Titans are interested, but I haven't seen anything from any of the local guys to confirm that. Ruston Webster would have to clear a little bit of cap room before Dumervil could be signed, but as we have discussed, there are a couple of pretty easy places to get that done.
SB Nation has a list of the top available free agents here. You can also see a list from Evan Silva here.
You will notice that both lists still have quite a few defensive ends and defensive backs at the top. Those are two needs the Titans still have, so don't be surprised if they aren't quite done with the moves.