The spokesman for Pinera declined to discuss who had requested the meeting or what would be discussed but said the president would visit Italy only for the purpose of seeing the pope.
A spokesman for Pinera said he will meet the pontiff at the Vatican during a tour of France, Spain, Germany and Belgium that begins on Friday. A Vatican spokesman confirmed the meeting would take place on Saturday morning.
Pinera, a Catholic who presides over a right-wing party with traditionally close ties to the Church, has remained largely silent on Chile's abuse crisis. His uncle is Bernardino Pinera, 102, a retired cleric who is the oldest living Catholic bishop.
So far the pope has accepted the resignations of seven of Chile's 34 bishops and Chilean civil justice has investigated 119 allegations of sexual abuse or cover-ups involving 167 church workers including Cardinal Ricardo Ezzati, the archbishop of Santiago.
He also defrocked Thursday an 88-year-old Chilean priest who sexually abused teenage boys over a period of many years and is at the center of a wider abuse scandal that is still under investigation.
Last month, Pinera told a church service to celebrate independence day that he hoped the local Catholic Church would face the "dark times" and learn from them. "The church knows more than anyone that it was wrong," he said.
Ezzati is due to be questioned on Wednesday by a civilian prosecutor over allegations he covered-up child abuse. The cardinal has maintained his innocence.
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