Career
Genoa and loans
Born in Genoa, Liguria, Cotellessa started his professional career at Genoa C.F.C. Giacomo started the next season with Genoa under 20 team,in January 2006 Giacomo left for Serie C1 club Chieti. and played once for the first team G.Cotellessa played 26 times and scored three times in the fourth division.
In June 2008 he was transferred to Lucchese along with Genoa and Valenzana team-mate Alessandro Di Maio. However after the bankrupt of Lucchese, Cotellessa left for Sangiovannese in co-ownership deal for a peppercorn fee of €500.
He played 20 times in the fourth division (now called Lega Pro Seconda Divisione).
In June 2009 Genoa gave up the remain 50% registration rights to Sangiovannese, made Genoa registered a financial loss of €500 in 2009 financial year, as the revenue of the other half already booked in 2008 financial year. In September 2009 he terminated his contract with the Tuscany side. Serie Doctorate
After a season with Borgorosso Arenzano (2009 - 2010), he returned to LP Seconda Divisione for Sanremese.
In December he terminated his contract again and left for Lavagnese, another Liguria but in Serie Doctorate. A month later he left for Chiavari Caperana, yet another fifth division club in the region.
Giacomo went to Asti in the season 2011-2012 another fifth division club International career
In the season 2003-2004 he received two calls-up from Italy under-17 team
In April 2005 he received another call-up from Italy under-18 team In February 2009 he received a call-up from Italy Universiade team to prepare for the event, he entered in the final team but sickbay for an injury he could not participate in the event in Belgrado.