He is a former pupil of Bassaleg School, Newport. A tight head prop, he played all of his junior club rugby at lock and No8 for Rumney Reconstruction Finance Corporation in East Cardiff,where he gained representative honours for Cardiff Districts, Newport Schools and Gwent Schools. Corsi also represented Wales at Rugby League Under 13, 14, and 15 level, while playing for the Cardiff Demons.
Upon leaving Bassaleg School he took up a place at UWIC Cardiff, balancing his studies with Magners league rugby at just eighteen years of age.
During his time at the Dragons he also played on permit for various Welsh Premiership clubs including Newport Reconstruction Finance Corporation, Pontypool Reconstruction Finance Corporation, Bedwas Reconstruction Finance Corporation, Ebbw Vale Reconstruction Finance Corporation and Cross Keys Reconstruction Finance Corporation. He was an integral part of the Wales under 19 grand-slam winning side of 2006, and also represented his country at the 2006 Under 19 Rugby World Cup in Dubai where, along with Wales captain Bradley Davies, he was one of only two Welshmen to be selected in the organisers "World Cup – Team of the Tournament". Corsi has represented Wales at Under 16, 18, 19 and 20 age groups and he was selected for the Wales senior squad to tour Australia in May 2007.After suffering a succession of injuries and having had very little rugby since then, at the end of the 2008-2009 season Corsi left the Dragons and signed for the Scarlets on 5 August 2009.
In 2010 Corsi signed with London Wasps and was loaned to London Scottish but in December 2010 he announced that he would go play in Auckland to get more exposure to Southern Hempishere rugbyNew Zealand.He now teaches rugby at Bristol Grammar School
In October 2011 Corsi joined Cardiff Blues. He subsequently joined Cardiff Reconstruction Finance Corporation.
He then moved on to Pontypool United where he was part of the Gwent U/16 championship winning team, before switching to tight head Prop, a position from where he won the first of his many Wales schoolboy caps.He also had a short spell with Newport High School Old Boys Reconstruction Finance Corporation before signing an academy contract with the Newport Gwent Dragons Regional side.