Question: What is Agostino Vallini in relation to the place commonly known as Lateran Basilica?

Context paragraphs:
Basilica of Saint Paul Outside the Walls: The Papal Basilica of St. Paul outside the Walls (Italian: "Basilica Papale di San Paolo fuori le Mura" ), commonly known as St. Paul's outside the Walls, is one of Rome's four ancient, Papal, major basilicas, along with the Basilicas of St. John in the Lateran, St. Peter's, and St. Mary Major.

Lateran council: The Lateran councils were ecclesiastical councils or synods of the Catholic Church held at Rome in the Lateran Palace next to the Lateran Basilica.  Ranking as a papal cathedral, this became a much-favored place of assembly for ecclesiastical councils both in antiquity (313, 487) and more especially during the Middle Ages.

La Magione, Palermo: The Basilica of the Most Holy Trinity (Italian: Basilica della Santissima Trinità), commonly known as Basilica del Cancelliere, Basilica La Magione or simply La Magione, is a Norman church of Palermo.  It was completed in 1191 and is the last church built in the capital of the Norman Kingdom of Sicily during the period of the Hauteville dynasty.  Its foundation is linked to the Chancellor of the Kingdom, Matthew of Ajello.  Initially attributed to the Cistercians, during the period of the Hohenstaufen dynasty the church became the house of the Teutonic Order.  It is located in the quarter of the Kalsa, within the historic centre of Palermo.

Basilica del Santo Niño: The Basilica Minore del Santo Niño de Cebú (English: "Minor Basilica of the Holy Child of Cebú" ) commonly known as the Santo Niño Basilica, is a minor basilica in Cebu City in the Philippines that was founded in the 1565 by Frays Andrés de Urdaneta, O.S.A. and Diego de Herrera, O.S.A..  The oldest Roman Catholic church in the country, it is built on the spot where the image of the Santo Niño de Cebú was found during the expedition of Miguel López de Legazpi.  The icon, a statue of the Child Jesus, is the same one presented by Ferdinand Magellan to the chief consort of Rajah Humabon upon the royal couple's christening on April 14, 1521.  It was found by a soldier forty years later, preserved in a wooden box, after Legazpi had razed a local village.  When Pope Paul VI made the church a basilica in 1965, he said it is "the symbol of the birth and growth of Christianity in the Philippines."

St Mark's Basilica: The Patriarchal Cathedral Basilica of Saint Mark (Italian: "Basilica Cattedrale Patriarcale di San Marco" ), commonly known as Saint Mark's Basilica (Italian: "Basilica di San Marco" ; Venetian: "Baxéłega de San Marco" ), is the cathedral church of the Roman Catholic Archdiocese of Venice, northern Italy.  It is the most famous of the city's churches and one of the best known examples of Italo-Byzantine architecture.  It lies at the eastern end of the Piazza San Marco, adjacent and connected to the Doge's Palace.  Originally it was the chapel of the Doge, and has only been the city's cathedral since 1807, when it became the seat of the Patriarch of Venice, archbishop of the Roman Catholic Archdiocese of Venice, formerly at San Pietro di Castello.

Santa Prassede: The Basilica of Saint Praxedes (Latin: "Basilica Sanctae Praxedis" , Italian: "Basilica di Santa Prassede all’Esquillino" ), commonly known in Italian as Santa Prassede, is an ancient titular church and minor basilica in Rome, Italy, located near the papal basilica of Saint Mary Major.  The current Cardinal Priest of "Titulus Sancta Praxedis" is Paul Poupard.

Our Lady of Confidence: Our Lady of Confidence, also known as La Madonna della Fiducia or Our Lady of Trust, is a venerated image depicting the Blessed Virgin Mary enshrined at the Lateran Basilica.  The feast of Our Lady of Confidence falls on the last Saturday prior to Lent.

Agostino Vallini: Agostino Vallini (born 17 April 1940) is an Italian prelate of the Catholic Church.  He has been a cardinal since 2006.  From 2008 to 2017 he served as Vicar General of Rome.  He is also the Archpriest emeritus of the Archbasilica of St. John Lateran.

First Vatican Council: The Vatican Council (Latin: "Concilium Vaticanum Primum" ) was convoked by Pope Pius IX on 29 June 1868, after a period of planning and preparation that began on 6 December 1864.  This, the twentieth ecumenical council of the Catholic Church, held three centuries after the Council of Trent, opened on 8 December 1869 and adjourned on 20 October 1870.  Unlike the five earlier General Councils held in Rome, which met in the Lateran Basilica and are known as Lateran Councils, it met in the Vatican Basilica, hence its name.  Its best-known decision is its definition of papal infallibility, strongly promoted by the Archbishop Luigi Natoli.

Archbasilica of St. John Lateran: The Papal Archbasilica of St. John in Lateran (Italian: "Arcibasilica Papale di San Giovanni in Laterano" ), commonly known as St. John Lateran Archbasilica, St. John Lateran Basilica, St. John Lateran, or simply the Lateran Basilica, is the cathedral church of Rome, Italy and therefore houses the "cathedra", or ecclesiastical seat, of the Roman Pontiff (Pope).

Supporting paragraphs: Agostino Vallini Archbasilica of St. John Lateran
Answer: Archpriest emeritus