The Kings want to bring in a defenseman who can handle top-four minutes, and have been eyeing New York Islanders blueliner Andrew MacDonald and Buffalo Sabres veteran Christian Ehrhoff.
MacDonald, 27, is in the final year of his contract and is scheduled to become an unrestricted free agent July 1, while the 31-year-old Ehrhoff has six years left on his contract beyond this season.
As much as Lombardi would like to bolster his blueline, he is also aggressively trying to acquire a goal-scorer.
The Kings have expressed interest in Sabres left wing Matt Moulson for some time.
Several teams are eyeing Moulson, who is expected to be moved before Wednesday's 3pm ET deadline, including the Ottawa Senators, Anaheim Ducks, Phoenix Coyotes, New Jersey Devils and Boston Bruins.
The Sabres are believed to be asking for a first-round draft pick and a solid prospect as part of a package for Moulson, however one league source told TFP on Monday that the Sabres are interested in Kings youngster Tyler Toffoli.
The Kings have also explored the asking price of Islanders left wing Thomas Vanek, Calgary Flames forward Mike Cammalleri, Vancouver Canucks forward Ryan Kesler and Columbus Blue Jackets winger Marian Gaborik.
The price tag on Vanek might be too high for the Kings, while the Canucks may not be overly interested in moving Kesler to a team within their division.
Elliotte Friedman of CBC reported on TSN 690 radio station in Montreal on Monday that the Kings inquired about Kesler.
While Cammalleri could also be in the mix for the Kings, a source close to the situation told TFP that the team might consider him a last resort.
The Kings are high on Moulson, but could also focus on Gaborik, as his price is believed to be lower than that of Vanek and Cammalleri's.
Gaborik is also set to become an unrestricted free agent this summer. He has not had any contract discussions with the Blue Jackets about an extension and a source close to the Blue Jackets told TFP the team is not interested in having him return next season.
The Kings have scouted the last few Blue Jackets games, keeping tabs on Gaborik. Los Angeles currently has two scouts scheduled to attend Monday night's Blue Jackets game in Toronto against the Maple Leafs.