Taylor, released last week by Jacksonville, was also scheduled to meet with the Patriots later in the afternoon. The 33-year-old running back is looking to latch onto a new team after spending 11 seasons with the Jaguars.
Free agents can begin signing with new clubs Friday.
"At the end of the day, my No. 1 objective is to get somewhere and compete," Taylor said after his Buffalo visit. "Nothing is going to be given to me. I don't expect that."
But Lynch's status is up in the air after being charged with three gun-related misdemeanors after his arrest earlier this month in Southern California. Because it was his second off-field incident in the past year, he faces a possible fine and suspension from the league.
"My job is to just come in and be a helper, and not stir up any problems or anything like that," he said. "I've been sharing my whole life."
The Bills, though, have shown no indication they are interested in releasing or trading Lynch, and Taylor said he wouldn't mind being a possible mentor to the 22-year-old.
"He's young with so much potential," Taylor said about Lynch. "Not saying I'm looking to be a father-figure to anyone or anything like that, but I know what I've gone through throughout my career. But the team hasn't said anything along that nature."
With 11,271 yards, Taylor ranks 16th on the NFL's career rushing list, and is within striking distance of passing Jim Brown (12,312).
"That's a part of the process, but at the end of the day, that's not the ultimate goal," Taylor said. "I do want a ring."
Taylor, Jacksonville's career rushing leader, was scheduled to make $6 million next season.