In all seriousness, they have a cycling team (sorta) called, Amore y vita, or Love and life.
The Nuncios.
The Mitre Ducks 
Why form a socceer team. They should start a wrestling team. The Father Nelson is unbeatable. Just ask any altar boy.
Opus Dei
The God Squad?
The Seraphim
The Ten Plagues
The Pillars of Fire
The Burning Bushes (I burning your bush!)
The Eleven Commandments
The Destroyers of Sodom and Gomorrah
Fire and Brimstone
NAMBLA Rambla’s
The Kicking Clerics
Up Yours
Pin Dancers
Toga Angels
Super Saints
Genuflecks
FC St. Peter’s
How about just AC Vatican City? (Maybe Internazionale Vatican City would be more appropriate.)
Ah, the real reason for all these shenanigans–now that Juventus has been forcefully relegated, Serie A misses all the corruption.