The Giants had expressed strong interest in contracted Hawks forward Chad Wingard in the past week, however the 28-year-old looked to shut down any possibility of a departure from Waverley this off-season.
A quartet of Hawks have had their future speculated this trade period following comments made by president Jeff Kennett last Thursday, with stars Tom Mitchell, Jaeger O'Meara and Jack Gunston joining Wingard is being linked to potential departures.
"He's keen to stay, but that hasn't stopped the Giants from asking the question," Twomey said on Trade Radio.
Just like their interest in Chad Wingard, Greater Western Sydney has explored interest in Luke Breust over the last day. Would similarly have been willing to use pick 13 in a deal, but like Wingard, Breust has been reluctant to move from Hawks. More on @traderadio @AFLcomau.
— Callum Twomey (@CalTwomey) October 13, 2021
With Wingard shutting down reports, Breust has emerged as another desired target for the New South Wales club, however according to Twomey, Breust is also keen on remaining in Brown and Gold.
The Hawks and Giants were understood to have agreed to a trade that would have seen the Giants send pick 13 in exchange for Breust and pick 24 to Hawthorn, however Breust's desires to remain in Victoria brought talks to a halt.
The veteran sharpshooter inked a new contract extension in February this season, committing his tenure with the Hawks until the end of the 2023 season.
The Giants currently hold picks 2, 13, 50 and 68 for the 2021 National Draft.