According to NFL.com, the combine officially runs February 24th through March 2nd in Indianapolis. But it also says that the schedule for players doesn't begin until February 27, so there won't be any known results until then. As far as the Green Bay Packers are concerned, the most interesting days might be the first and the last. First up are the offensive lineman as the search for a future starting tackle continues and it looks like Iowa's OT Bryan Bulaga has moved up as a potential Top 5 pick, so he's not an option for the Packers anymore.
Last up are the defensive backs. A recent mock draft had the Packers selecting Georgia S Reshad Jones in the 2nd round. Maybe a cornerback in the late first round?
On the 2nd to last day (next Monday) are the defensive lineman and linebackers. I'm not sure when all the college defensive ends who may play outside linebacker in the NFL are going, but they'll run their drills at some point on Monday. The Phinsider was kind enough to point out five guys that may become NFL outside linebackers, provide a pass rush, and fill the void with LB Aaron Kampman's likely departure: Jason Pierre-Paul, Derrick Morgan, Ricky Sapp, Brandon Graham, and Sergio Kindle.