With Jonathan Quick, arguable the league's top goalie right now, between the pipes for the Kings, Bernier hasn't had much ice time and is pegged to be a solid No. 1 goalie in the National Hockey League.
The Kings have had serious talks with the Philadelphia Flyers, going back to March and April, when the two clubs were discussing a deal prior to the trade deadline.
As TFP reported back then, Flyers right wing Matt Read was a main piece being discussed as part of a package for Bernier.
Trade negotiations between the Kings and Flyers have continued, as the two clubs spoke again this week, but there are other teams interested in the 24-year-old netminder.
The Toronto Maple Leafs remain interested in Bernier, having also spoken with the Kings during the season.
The New Jersey Devils, Minnesota Wild, New York Islanders, Calgary Flames, Edmonton Oilers and Phoenix Coyotes have all been rumored to have at the very least shown an interest or made an inquiry about Bernier's availability.
On Tuesday, New York Newsday reported the Islanders' interest in Bernier, as the club has not yet re-signed veteran goalie Evgeni Nabokov, who is scheduled to become an unrestricted free agent July 5.
Wild goalie Niklas Backstrom is also set to become a UFA next month, and contract talks are underway, but at 35-years old, the team could be exploring all of its options.
Flames netminder Miikka Kiprusoff is expected to retire, leaving Calgary with the unproven Karri Ramo, who has a 11-21-10 record in 48 career NHL games, all with Tampa Bay.
Ramo has excelled in the KHL, but like Minnesota, the Flames are evaluating every possibility.
In Phoenix, the Coyotes could lose goalie Mike Smith to free agency if the club's ownership situation isn't resolved this month.
Smith has expressed his interest in signing a new deal, at a discounted rate, with the Coyotes, if they stay in Phoenix.