The cardinalate title, created in 1969, is Sacro Cuore di Gesù Agonizzante a Vitinia, and the most recent titular is Jean-Paul Vesco.

The floor plan is basically rectangular with a shallowly curved apse, but the shape of the building is complex.

The side walls of the church are strongly zig-zag, with six triangular projections running from ground to roof on each side in the same pink brick, with small square windows inserted into the otherwise blank wall in an array shaped like a parallelogram on each of the overall twenty-four faces of this arrangement.

The walls here are all blank brick, but the roof forms three shallow parabolas, a large one over the apse and two smaller ones on the shorter side faces of the hexagon.

It is an octagonal brick tower, with small square windows inserted in one vertical row on each face.