Ducks forward Bobby Ryan was at the forefront of all the trade talk, with various reports linking him to several teams, including the Toronto Maple Leafs and New York Rangers.
Having missed the playoffs, Murray and his staff have had a head-start on their off-season planning. The team has already re-signed center Saku Koivu to a one-year deal and yesterday the team signed free agent goalie Viktor Fasth to a one-year contract.
Fasth, 29, is expected to take over as the Ducks' backup goalie to starter Jonas Hiller. He was named the Swedish Elite League's Goaltender of the Year (Honken Trophy) in each of the last two seasons, becoming the first goalie to do so since Henrik Lundqvist (2002-2005).
With Teemu Selanne still contemplating retirement, the Ducks are expected to make a number of other moves this off-season.
The Ducks are not expected to re-sign forwards Jason Blake and Niklas Hagman, and goalie Dan Ellis, all of whom will become unrestricted free agents July 1, while it's unclear if Murray wants to bring back forward George Parros and defenseman Sheldon Brookbank.
Anaheim has roughly $20 million in available salary cap space, which will give Murray the flexibility to add some key pieces to the roster.
In addition to bolstering his blueline, Murray will look to add secondary scoring to the lineup.
While moving Ryan now seems highly unlikely, it is being widely speculated that center Ryan Getzlaf could be up for grabs.
Getzlaf, who turned 27 on May 10, registered a career-low 11 goals this season, while tallying 57 points, his lowest point output since his rookie season in 2005-06.
The native of Regina, SK, has one-year left on his contract at a $5.325 million cap hit, though he'll pull in $6.125 million in actual salary.
It's uncertain what the Ducks would want for Getzlaf, if they choose to shop him, though a replacement up the middle and another forward or physical defenseman would be likely.
The Montreal Canadiens have been linked to Getzlaf, though new-GM Marc Bergevin seems set on retooling his management and scouting staff, and hiring a new head coach, before tinkering with the lineup.
The Habs have been looking for a big, offensive weapon at the center position for years, and Getzlaf would certainly fit that description for them.
Bergevin will either buy out Scott Gomez's contract, or send him down to the AHL, a more realistic option for Montreal, which would free up just over $7.35 million in cap space.
The Canadiens also draft third-overall and could select a centerman. Mikhail Grigorenko and Alex Galchenyuk are attractive options for the Habs, while the top-rated European prospect, Filip Forsberg, also plays the center position.
Murray could ask for the third-overall selection as part of a deal for Getzlaf, though Bergevin hasn't indicated whether or not he's set on keeping the pick.
If Getzlaf does hit the trade market and becomes available for discussion, several other teams will make inquiries.