Like most racers began Zampieri his motorsport career in karting, where he was active from 1998 to 2005. In 2006, Zampieri into formula racing and made his first experiences in the Italian Formula Renault and the Formula Renault 2.0 Eurocup. In his debut season he remained in both series without points. He also participated in the Winter Series of the Italian Formula Renault and finished ninth in the drivers' standings. He spent the next two years in this series. In the time he improved in the Italian Formula Renault 2007 to 15 and 2008 to ninth place in the drivers' standings. In the Formula Renault 2.0 Eurocup, he finished the 2007 21 and 2008 twelfth place overall. In the winter championship of the Italian Formula Renault, he was runner-up in 2007 and 2008 fifth.
2009 saw Zampieri in the Italian Formula 3 Championship, where already succeeded in its first season of breakthrough. With four wins and five podium finishes Zampieri won the championship ahead of his compatriot Marco Zipoli. As a reward for winning the title Zampieri took part in a Formula 1 test day for the Scuderia Ferrari in December. In the 2009/2010 GP2 Asia Series season Zampieri went for the Rapax team at the start. After the third race weekend he was replaced by Luiz Razia. At the end of the season, he finished 22nd overall.
2010 Zampieri was funded as part of the Ferrari Driver Academy of Ferrari. This year he went for Pons Racing in the Formula Renault 3.5 at the start. With two second places as the best results, he finished ninth overall. 2011 remained Zampieri in the Formula Renault 3.5 and switched to BVM Target to debut new to the championship. While his team-mate Sergio Canamasas with a third place was eighth, Zampieri finished the season off with a fourth place as best result on the 16th place overall.
2012 moved Zampieri in the GT sports. He was eighth in the International GT Open and also won the series internal GTS - rating. In addition, he was active in 2012, together with Stefano Gattuso and Davide Rigon in the Blancpain Endurance Series. The three finished the season in tenth place in the GT3 Pro- rating. In addition to his GT- engagement took Zampieri in the 2012 Formula Renault 3.5 season attended an event for BVM Target.
- 2007: Italian Formula Renault Winter Series (2nd place)
- 2008: Italian Formula Renault ( 9th place)
- 2008: Formula Renault 2.0 Eurocup ( 12th place)
- 2008: Italian Formula Renault Winter Series ( 5th place)
- 2009: Italian Formula 3 (Master)
- 2010: GP2 Asia Series (No. 22)
- 2010: Formula Renault 3.5 (9th )
- 2011: Formula Renault 3.5 ( 16th place)
- 2012: International GT Open ( 8th place)
- 2012: Blancpain Endurance Series, GT3 Pro ( place 10 )
- 2012: Formula Renault 3.5 ( rank 27 )