Final answer:
San Carlo alle Quattro Fontane is the church in Rome, Italy that was designed by Francesco Borromini in the Italian Baroque style.
Step-by-step explanation:
The church in Rome, Italy that was designed by Francesco Borromini in the Italian Baroque style is San Carlo alle Quattro Fontane. It was commissioned by Cardinal Francesco Barberini in 1634 and construction began in 1638, with the church being consecrated in 1646. San Carlo alle Quattro Fontane is known for its complex plan that combines both oval and cross-shaped elements, creating unique convex-concave wall rhythms.