Born in Città di Castello, Umbria, Bianconi started his career at hometown club G.S.D. Madonna del Latte and then U.S. Tiferno Castello Calcio. He received a call-up to Umbria regional Allievi–Giovanissimi team for 2006 Coppa Nazionale Primavera, an event competed by the representative teams of Italian regions. Bianconi then left for Sansovino. In 2006–07 season Bianconi was a member of Allievi Regionali U-16 team and played the match against Empoli, in a friendly event, 2007 Torneo Internazionale Colli Senesi. Bianconi played for Sansovino U-20 team in 2008 Torneo di Viareggio which he was promoted from the U-17 team Allievi Nazionali.
On 1 September 2008 he was signed by Serie B club Vicenza, initially on a temporary deal. Bianconi played 2 seasons in the Primavera U-20 team. He scored 10 goals in 2009–10 season as Vicenza Primavera team top-scorer.
In July 2010 Bianconi was signed by Serie A club Juventus on a 5-year contract on a co-ownership deal. The club swapped Bianconi with Fausto Rossi. Both players were valued €1 million at that time thus 50% registration rights worth €500,000. Bianconi scored a hat-trick in 2011 Torneo di Viareggio, which he became the top-scorer of Juve in that tournament with only 3 goals. In July 2011 Bianconi returned to Vicenza. Bianconi wore №97 shirt. However, after only 1 appearance in half-season for the first team, Bianconi left for Belgian club Visé, wearing №45 shirt. In August 2012, he was loaned to Lega Pro Seconda Divisione side Poggibonsi. On 28 August 2013 Bianconi moved to Gavorrano. He fail to score regularly with only 5 starts. He rarely played in the second half of season, after the club signed Simone Malatesta and Francesco Zizzari as forwards.
Vicenza return
On 20 June 2014 Vicenza bought back Bianconi for €600,000, with Carlo Pinsoglio return to Turin on the same day, for €700,000. He was awarded №17 shirt. Bianconi signed a 3-year deal. On 5 January 2015 he was signed by Savona on a temporary deal. On 22 July 2015 Bianconi was signed by Lucchese on a temporary deal, as part of the deal of Filip Raičević.