He established a chapter house for twelve canons and a pilgrim's hostel for Hungarian travelers (predecessor of present-day Casa di Santo Stefano).
The "Hungarian institutions", as they were called, played an important part in maintaining intensive diplomatic relations between medieval Hungary and the Holy See.
In 1778, Pope Pius VI built a new sacristy for St. Peter's and expropriated the old church of Santo Stefano.
Hungarians lost their national church in Rome, but unofficially Santo Stefano Rotondo on Caelian Hill - whose titular is not King St. Stephen, but the latter's own patron saint - took over this role.
A funerary altar of Titus Flavius Athenaeus was found in Santo Stefano degli Ungheresi and transferred to the Germanic-Hungarian College; it is now in the Uffizi.