The Bills hold the ninth overall pick in next month's draft.
The Mount St. Joseph graduate's has done private workouts with the Colts and Carolina Panthers.
We projected Fuller to the Broncos in our latest mock draft.
Fuller was a second-team Walter Camp All-American selection and a first-team All-Atlantic Coast Conference player last year.
He's generally graded as the third-ranked cornerback behind Michigan State's Darqueze Dennard and Oklahoma State's Justin Gilbert.
During the NFL scouting combine, Fuller ran the 40-yard dash in 4.49 seconds. He had a 38.5-inch vertical leap, a 10-8 broad jump and bench pressed 225 pounds a dozen times.
"I would love to go in the first round, that's definitely something I've set a goal for," Fuller told The Baltimore Sun in March "I'm excited about how everything is going. I just want to continue to be successful. I'm staying focused and working hard. It means a lot to be able to do this and to have my family share the experience with me.
"I'm very competitive, especially with my brothers. That's helped me to get to where I am now. We always want to be better than the next guy, no matter how fast we are or how many plays we make. All the way back to when I was eight years old, we always loved football, going in the backyard and always wanting to play."