|Date of birth||6 March 1978|
|Place of birth||Rome, Italy|
|Height||1.93 m (6 ft 4 in)|
|2000–2001||→ Arezzo (loan)||30||(0)|
|2003–2004||→ Catania (loan)||12||(0)|
|2005||→ Lodigiani (loan)||21||(0)|
|2007||→ Chievo (loan)||0||(0)|
|2012||→ Nocerina (loan)||21||(0)|
|* Senior club appearances and goals counted for the domestic league only and correct as of 17 January 2015|
Concetti started his professional career at Lazio. In mid-2000, he was loaned to Arezzo. During the 2002–03 season, he was initially a backup for Angelo Peruzzi and Luca Marchegiani, although he played once for Lazio in the UEFA Cup, against FC Red Star Belgrade.
In June 2003, he joined Perugia but loaned to Catania at the start of season, as Lorenzo Squizzi's backup. In January 2005, he left for Lodigiani and in January 2006 for Sambenedettese, replacing Antonio Rosati and compete the first choice with Domenico Di Dio. In mid-2006, he joined Monza of Serie C1, as the first choice goalkeeper, ahead Fabio Carrara. In January 2007, he was loaned to Chievo, replacing Mattia Passarini, again as Lorenzo Squizzi's backup. In mid-2007, he joined Crotone which he won promotion to Serie B in 2009. He lost his starting place to Vid Belec during 2010–11 Serie B and was released by Crotone in June 2011, which Giacomo Bindi succeeded his backup role.
- UEFA Cup Winners' Cup: 1998–99
- UEFA Super Cup: 1999
- Serie A: 1999–2000
- Coppa Italia: 1999–2000
- Supercoppa Italiana: 2000
- "Sturm goal not enough". UEFA.com. 2002-12-12. Retrieved 2009-08-26.
- "CONCETTI AL CHIEVOVERONA, PASSARINI ALLA CREMONESE" (in Italian). AC ChievoVerona. 2007-01-30. Retrieved 2009-08-26.[dead link]