Although Collingwood and Richmond are believed to lead the race for the 20-year-old, AFL.com.au understands he met with the Bombers to discuss a possible move to Windy Hill.
The Bombers could have salary cap space to chase Adams if, as expected, half-forward Stewart Crameri leaves the club for a long-term contract at the Western Bulldogs.
Essendon had offered a three-year deal to Crameri.
But the Bombers are seen as only an outside chance to secure the Victorian if he chooses to leave the Giants, given the club was stripped of its first two picks at the NAB AFL Draft.
If Adams departs GWS, the Magpies (pick 10) and Tigers (pick 11) hold draft selections which could make a deal more achievable.
AFL.com.au understands Adams is yet to receive a new contract offer from the Giants despite playing 31 games in his first two seasons.
Greater Western Sydney's major focus as October's trade period approaches is on its bid to land Hawthorn free agent Lance Franklin.
Meanwhile, homesick Brisbane Lion youngster Sam Docherty has agreed to meet with new Lions coach Justin Leppitsch this week.
Docherty, who turns 20 next month, is grappling with a desire to return home to Victoria and last week met with Carlton, Essendon, the Western Bulldogs and North Melbourne.