Williams spent the previous five years with the Cardinals, where he started 40 of the 70 games he played in. Williams totaled 116 tackles and two sacks. He recorded a single-season best 45 tackles a year ago.
Smith spent the past four seasons with the Bills and is predominantly a blocking tight end. He was originally drafted by the Patriots in the fifth round in 2011 before being placed on waivers — which is how the Bills acquired him.
Williams, 27, spent his first five years in the league with the Cardinals. He started nine of 16 games last season, registering 24 tackles and one sack.
Lofton, 28, has started all but one of his first 112 games in the NFL. His three-year run with the Saints ends with 271 tackles, three sacks and four forced fumbles in 48 games.
Williams has drawn interest from the Redskins and Giants, while Lofton was released Monday after the Saints were unable to find a trade partner.
Williams rated 14th out of 81 defensive tackles in 2014, according to Pro Football Focus. He excelled in run defense, ranking eighth at the position against the run. The nose tackle recorded 31 total tackles and one sack last season.
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