|Date of birth||26 May 1980|
|Place of birth||Cesenatico, Italy|
|Height||1.80 m (5 ft 11 in)|
|2000–2001||→ Ternana (loan)||0||(0)|
|2001||→ Cesena (loan)||16||(1)|
|2001–2002||→ Napoli (loan)||25||(3)|
|2002–2003||→ Ancona (loan)||37||(9)|
|2003–2004||→ Fiorentina (loan)||40||(8)|
|2004–2005||→ Siena (loan)||13||(0)|
|2005–2006||→ Modena (loan)||44||(10)|
|2008||→ Grosseto (loan)||21||(6)|
|* Senior club appearances and goals counted for the domestic league only.
Graffiedi started his career at Cesena near to his born place.
He was signed by A.C. Milan in summer 1999 in co-ownership deal, for 7,250 million lire (€3,744,313). (Graffiedi and Carlo Teodorani to Milan and Marcello Campolonghi to Cesena), but left on loan since graduating from their youth team in summer 2000. He enjoyed his best seasons for Ancona and Fiorentina in Serie B, earning himself a move to Serie A team A.C. Siena. In June 2003 Milan bought Graffiedi outright for another €750,000.
He made his debut against U.C. Sampdoria on 19 September 2004. After the first time did not scored for the club, he was left to Serie B again for Modena F.C. in January 2005, became his first club that served for more than one year (1½year).
In summer 2006, he was signed by Triestina in co-ownership deal, for €300,000. Again, he did not manage to score in 2007-08 season, and sent on loan to Grosseto in mid-season, where the club searching a striker to boost their by-then infamous record of the least number of goal of the league.
In June 2008, Triestina finally own the full registration rights of the player for a peppercorn fee of €1,000. However, he was transferred to Piacenza for undisclosed fee, which Triestina had a profit of €150,000.
In October 2011 Graffiedi was signed by A.S. Gubbio 1910 as free agent. On 31 July 2012 Graffiedi was signed by Serie B club A.C. Cesena in 1-year contract. He had an anterior cruciate ligament injury in May 2013.
- AC Milan SpA Report and Accounts on 30 June 2003 (Italian)
- US Triestina Calcio SpA Report and Accounts on 30 June 2009 (Italian)
- "Mattia Graffiedi è del Cesena" (in Italian). AC Cesena. 31 July 2012. Retrieved 16 July 2013.
- "Lesione al crociato anteriore sinistro per Graffiedi" (in Italian). AC Cesena. 6 May 2013. Retrieved 16 July 2013.
- "UFFICIALE: un attaccante ex Cesena per il San Marino". TLP (in Italian). TMW Network. 10 September 2013. Retrieved 2 January 2013.
- Football.it Profile (Italian)