|Date of birth||6 January 1987|
|Place of birth||Treia, Italy|
|Height||1.85 m (6 ft 1 in)|
|2005||→ Valleverde Riccione (loan)||2||(0)|
|2007–2008||→ Giulianova (loan)||14||(2)|
|2009||→ Poggibonsi (loan)||11||(0)|
|2018||→ Carpi (loan)||20||(7)|
|* Senior club appearances and goals counted for the domestic league only and correct as of 20 May 2018|
Born in Treia, Melchiorri started his career with Serie D amateurs Tolentino and successively joined Siena in January 2006. He made his Serie A debut on 20 December 2006 in a game against Empoli when he came on as a last-minute substitute for Cristian Molinaro.
He was successively forced to quit football after being diagnosed with cavernoma and undergoing surgery as a result. He resumed active football later in 2010 with former club Tolentino (Eccellenza), scoring 30 goals in 54 matches.
In 2012–13 Melchiorri was sold to Maceratese (Serie D) and he scored 22 goals in 30 matches. His impressive performances caught the attention of Serie B club Padova, who signed him in the summer of 2013. He scored six goals in a rather unfortunate season for Padova, which ended with relegation and then the club being declared bankrupt. He successively joined Pescara, another Serie B club, in the summer of 2014 on a free transfer. On 8 January 2018, he was loaned to Carpi.