Beau Brinkley, LS, Missouri
D.J. Woods, WR, Cincinnati
Chandler Burden, OT, Kentucky
Devin Aguilar, WR, Washington
Alex Watkins, LB, Alabama
Nick Stephens, QB, Tarleton State (former Tennessee Vol)
Brandon Barden, TE, Vanderbilt
George Bias, G, Stephen F. Austin
Gary Wilburn, CB, Connecticut
Christian Scott, S, Texas
LaQuinton Evans, WR, Southern
DaJohn Harris, DT, USC
William Vlachos, C, Alabama
Darryl Whiting, RB, Fordham (via Jim Wyatt)
Chase Deadder, WR, Sacramento State (via Jim Wyatt)
By these reports, the Titans have been linked to fifteen UDFAs. That would leave the Titans at 89 total players, one short of the maximum 90. At Saturday's post-draft press conference, GM Ruston Webster indicated he expected the Titans would sign 10-14 UDFAs.
Let me stress these are unconfirmed rumors only, and you should not rely on them. It's worth keeping in mind the Tennessee Titans have not kept a rookie undrafted free agent on the 53-man roster in a number of seasons. The closest thing to exceptions are guys like Kevin Matthews, who was cut and spent most of the season on the practice squad, and Chris Hawkins, who was a UDFA and made the team but not immediately out of college. As Adam Caplan notes, teams won't announce signings until they're official. That may also include passing a physical. The Titans are generally a bad team for a UDFA, so until pen has been put to paper, UDFAs may find greener pastures.
I'll be updating this post as I see more names.