During a recent interview with Rolling Stone regarding his upcoming summer tour, Simon said the audience shouldn't expect a reunion any time soon, saying such a move is "out of the question."
"We don't even talk," the "You Can Call Me Al" singer said.
After his most recent arena tour with guitarist Sting, Simon is taking on a smaller theater tour, which launched Wednesday.
"This one, I'm playing a lot of 4,000-seat theaters. We're also doing a couple of festivals and things just to make enough money to play the smaller theaters," he said.
The concerts' set list will include crowd favorites as well as a handful of new music from his upcoming album Stranger to Stranger, to be released June 3.
"They wanna hear 'You Can Call Me Al,'" Simon said. "So I play it. It's not like I would pick [it out] and play it because I really want to, but people like it so much that I'm like, 'Of course I'll do it.'"
Garfunkel, told Telegraph last year he "created a monster," when he befriended Simon in grade school.
"How can you walk away from this lucky place on top of the world, Paul?" Garfunkel said during the interview, directing his comments toward Simon. "What's going on with you, you idiot? How could you let that go, jerk?"
The duo last reunited for a performance in 2010 and haven't kept in touch since. They officially split as a musical ensemble in 1970.