Chiesa dei Santi Vincenzo e Anastasio a Trevi

Its medieval name was Sant'Anastasio de Trivio; from 1570 it has been known under the double dedication. The Italian Wikipedia article's infobox gives 1644 for the start of construction and 1650 for its completion, and the article records that the original church was rebuilt in Baroque form at the order of Cardinal Mazarin and was erected a parish at that time.

The same article says the church came to be known as the parrocchia pontificia for two reasons: because the Palazzo del Quirinale, the pope's residence, was in the area, and because the precordia of the pontiffs were kept in the church. It preserves them still, not displayed to the faithful: the precordia removed during the embalming of popes, in the urns of 22 popes, from Sixtus V to Leo XIII. Belli's phrase for them, quoted in the same article, is un museo de corate e de ciorcelli. They are precordia rather than hearts, and there is nothing on show.