The Giants have a need for depth along their defensive line, particularly with the possible departure of Osi Umenyiora and the release of Chris Canty.
General Manager Jerry Reese likes to address perceived "needs" in free agency so he can head into April's draft with relatively low pressure to make a selection based on need. 2010 provides a good example when the Giants signed safeties Antrel Rolle and Deon Grant via free agency after the terrible safety play in 2009 season. Many then expected the Giants to invest in the secondary high in the draft, but they instead selected Jason Pierre-Paul.
The Giants know what they are looking for in free agency: veteran bodies at a discount rate with something left to prove that can be a good locker room presence (see: Grant).
Jenkins (along with several others in Philadelphia) did not jell with the defensive scheme. This projects to be less on an issue in New York, as Jenkins has worked with defensive line coach Robert Nunn during his time with the Green Bay Packers.
Parker is likely not to re-sign with the Browns after a switch to a 3-4 scheme and at age 34 will not likely command more than the veteran minimum. He registered as many sacks in 2012 as Umenyiora did and will be accepting of a part time role as a pass rushing defensive end.
If Osi Umenyiora can not work out a reasonable deal to return to the Giants, Parker could make sense.
The initial thought entering this free agency period was that the Giants would look into Richard Seymour, but with someone like Jenkins on the market who has some familiarity with defensive line coach Robert Nunn as well as the NFC east, that kind of move could prove to make more sense.
Also…Antrel Rolle, Cleveland Browns, Cullen Jenkins, Football, Juqua Parker, New York, New York Giants, NFL, Osi Umenyiora, Philadelphia Eagles