The Camaldolese monks, whose origins are in Italy but who run a monastery 21 km from Italy's base outside Krakow, met the squad before the tournament and the team staff promised to make a pilgrimage to the monastery if they got out of Group C.
No one expected coach Cesare Prandelli, his backroom team and federation vice president and former midfielder Demetrio Albertini to take the walk at 3am local time, shortly after arriving back in Krakow from beating the Irish 2-0 in Poznan.
The federation said in a statement that the group, who first "had to deal with the jokes of the players... who went off to bed", took three-and-a-half-hours to complete the walk and returned to the team base at 7am - by car.
Italy meet England in the last quarter-final in Kiev on Sunday when Azzurri fans hope Prandelli will not have another sleepness night - this time for the wrong reasons.
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