Their 71-55 victory over UC Irvine in the Big West Conference tournament final at the Honda Center on Saturday put them on the selection committee's to-do list.
Kyle Allman dared Irvine players to stop him and Khalil Ahmad made a second-half appearance to drive the Titans (20-11).
A year ago, UC Davis was sent to Dayton, where it beat North Carolina Central.
But teams not coached by Jerry Tarkanian (Long Beach State and UNLV) have won only 13 of 49 games.
He scored nine of Fullerton's first 11 points and created the other bucket with a steal that sent Austen Awosika off on an uncontested layup.
He followed a drive to rim that resulted in a three-point play with another layup on a fastbreak to keep Irvine in Fullerton's wake.
Channon Fluker scored 24 points and Tessa Boagni 23 to lead Cal State Northridge (19-15) to a 63-55 victory over regular-season champion UC Davis (25-6) in the women's championship game.
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- Beavers Even Series With 6-4 WinRivals.com (press release)