At the Challenge International de Paris 2013
|Gold||2012 London||Team foil|
|Gold||2009 Antalya||Team Foil|
|Gold||2013 Budapest||Team foil|
|Silver||2005 Leipzig||Team foil|
|Silver||2007 St. Petersburg||Foil|
|Silver||2010 Paris||Team Foil|
|Bronze||2006 Turin||Team foil|
|Gold||Zalaegerszeg 2005||Team foil|
|Gold||Plovdiv 2009||Team foil|
|Gold||Legnano 2012||Team foil|
|Silver||2014 Strasbourg||Team foil|
|Bronze||Copenhagen 2004||Team foil|
|Bronze||Gand 2007||Team foil|
Baldini won the silver medal at the foil 2006 World Fencing Championships after he lost the final 15-14 versus Peter Joppich. He repeated the same feat a year later at the 2007 World Championships this time losing 15–9 to Joppich.
On 1 August 2008 it was announced that Baldini had failed a drug test, and as a result had to relinquish his potential participation in the Beijing Olympics. Andrea Cassarà went in his place. The next year he was completely cleared of all accusations, and was readmitted to competitions, winning two gold medals at the European Championships in Plovdiv (individual and team). This time he eliminated Joppich in the quarter-finals.
On 3 October 2009, he finally became World Champion, defeating Andrea Cassarà 15-14 in the quarter-finals, Artem Sedov 15-6 in the semi-finals, and Zhu Jun 15–11 in the final. On the podium, he displayed an Italian flag with lyrics from Bob Dylan's "The Hurricane" written on it.
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