Vigano has also accused Francis of rehabilitating McCarrick despite sanctions - such as prohibitions on travel and speaking publicly - dating back to 2009 or 2010 that were reportedly imposed by Pope Benedict XVI after reports of the alleged misconduct reached the Vatican.
A Cardinal and the Archbishop of Washington since McCarrick's 2006 resignation, 77-year-old US -born Wuerl issued a statement on August 27 in which he claimed to never have been informed about the sanctions levied against his predecessor for alleged sexual misconduct, thus undercutting Vigano's claims.
In the letter, Vigano accuses Pope Francis of having known for years about sex abuse reports involving former Cardinal Theodore McCarrick of the United States.
In a July 29 statement, Cardinal Wuerl said: "When the first claim against Archbishop McCarrick was filed in the Archdiocese of NY, the Archdiocese of Washington reviewed its own files and found no complaints of any kind made against Archbishop McCarrick".
Pope Francis used the penitential rite of the Mass to list a litany of different types of abuse and mistreatment inflicted on Irish people by Church figures, and the cover-ups of sex crimes.
In 2016, the National Catholic Reporter said Vigano allegedly ordered the investigation wrapped up and a piece of evidence destroyed. He also said Francis should resign to honor the Church's policy of rejecting abuse or hiding of abuse.
Cardinal DiNardo's statement renews the cardinal's earlier invitation to the Vatican to proceed with an apostolic visitation to the United States "to seek the truth".
Vigano claimed Francis asked him about McCarrick when he took office in June 2013, but that the pope ignored his warnings. Wuerl's spokesman denied the accusation. However, he did not make any criticism of St. John Paul II, who appointed Archbishop McCarrick to lead the Archdiocese of Washington and made him a cardinal in 2001.
The letter was released during the Pope's two-day trip to Ireland.
In Knock, Ireland, Pope Francis yesterday asked for forgiveness for the "scandal and betrayal" felt by victims of sexual exploitation as he continued his tour of Ireland where years of scandals have shattered the Church's former dominance.
The pope went to Ireland to close the 2018 World Meeting of Families - a global Catholic gathering that addressed issues including the treatment of gay people in the Church.
At another "Nope to the Pope" demonstration, protesters called for gay and transgender recognition, a clearer separation of religion and state in Ireland and the acceptance of contraception by the Vatican, as well as action on abuse.
Pope Francis has asked forgiveness for the multitude of abuses suffered by victims in Ireland at the hands of the church over decades, as he concluded a tour of the once deeply Catholic country.
"In other ways, we have failed you".
"Let us be clear that they are still allegations, but as your shepherd, I find them to be credible", the Most Reverend Joseph E. Strickland wrote in a letter to members of the diocese.