Orlandi has also represented the Argentina national rugby union team.
In February 2013, he signed for Bath Rugby for the 2013-14 season.
However, on 5 January 2015, Orlandi signed with Newcastle Falcons with immediate effect from the 2014-15 season.
On 6 Jan 2016 he was signed as a Medical Joker replacement to Section Paloise, Pau, France.
Orlandi made his international debut for Argentina on 8 November 2008 in a test match against France.