Both pairs are known as much for mutual acrimony as musical greatness, the report said. The Everly Brothers patched up their differences in 1983 and have been singing together since 2001.
"Art and I learned to sing as a duo by listening to Everly Brothers records and practicing their harmonies, said Simon in a statement. "We're both great fans of their singing and guitar playing."
"When it comes to the magnificent sound of Don and Phil, I'm just a wannabe," Garfunkel said.
Don and Phil Every, ages 66 and 64 respectively, made a surprise appearance on onstage at Simon and Garfunkel's tour opener in Wilkes Barre, Pa., Thursday night.
Tickets, which range from $45 to $250 for most dates on their 29-city trek, have been selling out in less than 30 minutes.
Simon and Garfunkel next perform a two-night stand in Auburn Hills, Mich.
Jessica Simpson shares three-way kiss with friends in photo
Interpol investigating stolen passports on missing flight