The 2019 league year only been officially underway since last Wednesday, but with so many players signing deals since that time, it's fair to say we're through the first wave of the free agency period.
The Rams have made a few notable moves, signing safety Eric Weddle, re-signing outside linebacker Dante Fowler, and tendering all four of their restricted free agents.
But while that first wave of free agency over, there's still plenty of quality players on the market. Which ones may be a good fit for the Rams? Check out the list below.
EDGE RUSHERS/LINEBACKERS
CLAY MATTHEWS
Matthews' contract expired after the 2018 season. He's spent the first 10 seasons of his career in Green Bay, becoming one of the more versatile linebackers in the league. He's recorded 83.5 sacks in 143 games. The Rams and Matthews reportedly have some mutual interest.
JUSTIN HOUSTON
Kansas City released the veteran outside linebacker earlier this month after eight seasons. Houston led the league with 22.0 sacks back in 2014, and had 9.0 sacks with five forced fumbles in 12 regular-season games in 2018.
ZIGGY ANSAH
After six seasons in Detroit, Ansah is a free agent. He suffered a shoulder injury that kept him out for most of the 2018 season, but still has 48.0 career sacks in 80 games.
SHANE RAY
A former first-round pick, Ray has experience in coordinator Wade Phillips' defensive system from their shared time in Denver. Ray had 4.0 sacks as a rookie in 2015 and then 8.0 sacks in 2016. But he's recorded only 1.0 sacks in each of the last two seasons.
Check out the best photos of Los Angeles Rams edge rusher Dante Fowler.

Defensive end (56) Dante Fowler of the Los Angeles Rams jumps on a fumble and celebrates against the Seattle Seahawks during the Rams 36-31 victory over the Seahawks in an NFL Week 10 regular season football game, Sunday, November 11, 2018, in Los Angeles, CA. (Jeff Lewis/Rams)

Defensive end (56) Dante Fowler of the Los Angeles Rams is introduced during player introductions before the Rams 30-22 victory over the Dallas Cowboys in a Divisional Playoff NFL football game, Sunday, January 12, 2019, in Los Angeles, CA. (Jeff Lewis/Rams)

Defensive end (56) Dante Fowler of the Los Angeles Rams warms up before the Rams 35-45 loss to the Saints in an NFL Week 9 regular season football game, Sunday, November 4, 2018, in New Orleans, LA. (Jeff Lewis/Rams)

Defensive end (56) Dante Fowler of the Los Angeles Rams jumps on a fumble against the Seattle Seahawks during the Rams 36-31 victory over the Seahawks in an NFL Week 10 regular season football game, Sunday, November 11, 2018, in Los Angeles, CA. (Jeff Lewis/Rams)

(56) Dante Fowler of the Los Angeles Rams celebrates in the locker room after the Rams 30-16 victory over the Lions to win the NFC West in a Week 13 NFL football game, Sunday, December 3, 2018, in Detroit, MI. (Jeff Lewis/Rams)

Outside linebacker (56) Dante Fowler Jr. of the Los Angeles Rams faces off against the San Francisco 49ers at the Los Angeles Memorial Coliseum, the Rams win 48-32 in an NFL Week 17 game, Sunday, December 30, 2018, Los Angeles, CA. (Will Navarro/Rams)

Defensive end (56) Dante Fowler of the Los Angeles Rams hits (9) Drew Brees of the New Orleans Saints during the Rams 26-23 victory over the Saints in the NFC Championship Game, Sunday, January 20, 2019, in New Orleans, LA. (Jeff Lewis/Rams)

Los Angeles Rams linebacker Dante Fowler (56) warms up prior to an NFL football game against the Kansas City Chiefs, Monday, Nov. 19, 2018, in Los Angeles. (Hiro Ueno/Rams)

Los Angeles Rams defensive end Dante Fowler (56) celebrates during an NFL football game against the Seattle Seahawks, Sunday, Nov. 11, 2018, in Los Angeles. (Hiro Ueno/Rams)

Outside linebacker (56) Dante Fowler Jr. of the Los Angeles Rams faces off against the Seattle Seahawks, the Rams win 36-31 in an NFL Week 10 game, Sunday, November 11, 2018, Los Angeles, CA. (Will Navarro/Rams)

Defensive end (56) Dante Fowler of the Los Angeles Rams against the Kansas City Chiefs during the Rams 54-51 victory over the Chiefs in an NFL Week 11 Monday Night Football game, Monday, November 19, 2018, in Los Angeles, CA. (Jeff Lewis/Rams)

San Francisco 49ers running back Alfred Morris (46) is tackled by Los Angeles Rams linebacker Dante Fowler (56) during an NFL game at the Los Angeles Memorial Coliseum in Los Angeles on December 30th, 2018 (Hiro Ueno/Rams).

Outside linebacker (56) Dante Fowler Jr. of the Los Angeles Rams faces off against the Kansas City Chiefs on a Monday Night Football matchup at the Los Angeles Memorial Coliseum, the Rams win 54-51 in an NFL Week 11 game, Monday, November 19, 2018, Los Angeles, CA. (Will Navarro/Rams)

Los Angeles Rams nose tackle Ndamukong Suh (93), defensive end Michael Brockers (90), and linebacker Dante Fowler (56) sack New Orleans Saints quarterback Drew Brees (9) during the NFC Championship Game between the Los Angeles Rams and New Orleans Saints on January 20th, 2019 in New Orleans, Louisiana. (Hiro Ueno/Rams)

Outside linebacker #56 Dante Fowler Jr. of the Los Angeles Rams before the Rams 23-30 loss to the Philadelphia Eagles in an NFL season game fourteen match, at the Los Angeles Memorial Coliseum, on December 16, 2018, in Los Angeles, CA. (Daniel Bowyer/Rams)

Outside linebacker #56 Dante Fowler Jr. of the Los Angeles Rams during the Rams 30-22 victory over the Dallas Cowboys in an NFL divisional round playoff game, on January 12, 2018 at the Los Angeles Memorial Coliseum in Los Angeles, California. (Photo By: Daniel Bowyer / Rams)

Los Angeles Rams defensive end Dante Fowler (56) and nose tackle Ndamukong Suh (93) tackle Seattle Seahawks running back Mike Davis (27) during an NFL football game, Sunday, Nov. 11, 2018, in Los Angeles. (Hiro Ueno/Rams)

Outside linebacker (56) Dante Fowler Jr. of the Los Angeles Rams faces off against the San Francisco 49ers at the Los Angeles Memorial Coliseum, the Rams win 48-32 in an NFL Week 17 game, Sunday, December 30, 2018, Los Angeles, CA. (Will Navarro/Rams)

Outside linebacker #56 Dante Fowler Jr. of the Los Angeles Rams before the Rams 23-30 loss to the Philadelphia Eagles in an NFL season game fourteen match, at the Los Angeles Memorial Coliseum, on December 16, 2018, in Los Angeles, CA. (Daniel Bowyer/Rams)

Defensive end (56) Dante Fowler of the Los Angeles Rams jumps on a fumble and celebrates with teammates against the Seattle Seahawks during the Rams 36-31 victory over the Seahawks in an NFL Week 10 regular season football game, Sunday, November 11, 2018, in Los Angeles, CA. (Jeff Lewis/Rams)

Outside linebacker #56 Dante Fowler Jr. of the Los Angeles Rams during the Rams versus Patriots Super Bowl LIII (53) game, on February 3, 2019, at the Mercedes Benz Stadium, in Atlanta, GA. (Daniel Bowyer/Rams)

Los Angeles Rams defensive tackle Aaron Donald (99) and outside linebacker Dante Fowler (56) celebrate during the NFL Super Bowl LIII football game against the New England Patriots on Sunday, Feb 3, 2019 in Atlanta. (Hiro Ueno/Rams)

Outside linebacker (56) Dante Fowler Jr. of the Los Angeles Rams faces off against the Seattle Seahawks, the Rams win 36-31 in an NFL Week 10 game, Sunday, November 11, 2018, Los Angeles, CA. (Will Navarro/Rams)

Los Angeles Rams linebacker Dante Fowler (56) takes the field prior to an NFL game against the Philadelphia Eagles on Sunday December 16th, 2018 at the Los Angeles Memorial Coliseum in Los Angeles, Calif. (Hiro Ueno/NFL)
DEFENSIVE LINEMEN
NDAMUKONG SUH
General manager Les Snead said last week that Suh is likely to receive a contract offer that is outside the Rams' budget, Suh is clearly still a fit from a schematic standpoint. He recorded 4.5 sacks for Los Angeles in the regular season and added 1.5 in three postseason games.
COREY LIUGET
Liuget has spent the first eight years of his NFL career with the Chargers. He played in only six games last year due to a suspension and then subsequent injury, but still had 1.5 sacks. The Chargers declined his option to make him an unrestricted free agent.
DARIUS PHILON
The Chargers selected Philon in the sixth round of the 2015 NFL Draft. He's played in 54 games since then, becoming a full-time starter in the 2018 season. Listed at 6-foot-1 and 300 pounds, Philon has recorded 9.5 sacks and 16 career tackles for loss.
MUHAMMAD WILKERSON
A former No. 30 overall pick, Wilkerson has plenty of experience in a 3-4 defense playing under former head coach Rex Ryan with the Jets. After seven years with the Jets, Wilkerson signed with Green Bay as a free agent. But he suffered a season-ending ankle injury in the third game of the season. Wilkerson has 44.5 career sacks and 71 career tackles for loss to go along with 103 career QB hits.
RUNNING BACKS
C.J. ANDERSON
Anderson was a key piece to Los Angeles' run to Super Bowl LIII, signing with the club late in the 2018 season. The Rams did tender restricted free agent Malcolm Brown — who was the backup to Todd Gurley before suffering a season-ending clavicle injury in December. Anderson has rushed for 3,454 yards and 22 touchdowns in his career.
JAY AJAYI
Another running back, Ajayi suffered a torn ACL early in the 2018 season during Philadelphia's loss to the Vikings. Ajayi was a key piece to the Eagles' Super Bowl LII championship season, averaging 5.8 yards per carry for Philly in the 2017 regular season after the Dolphins traded him to the NFC East. In 2016, Ajayi rushed for 1,272 yards and eight touchdowns with Miami.
T.J. YELDON
A 2015 second-round pick, Yeldon has been part of a running back rotation for much of his career in Jacksonville but still has a 4.0 career yards per carry average. Last year, Yeldon played in 14 games — starting five — and recorded 414 yards rushing with a touchdown. But he's a prime threat out of the backfield, making 55 receptions for 487 yards with four TDs in 2018.