Urjukashvili moved to France, where he has been playing in Stade Toulousain, RC Nîmes, US Tours, in 2003, Rugby Club Cannes Mandelieu, from 2003/04 to 2006/07, in the Fédérale 2, Stade Aurillacois Cantal Auvergne, from 2007/08 to 2008/09, in the Rugby Pro D2, Groupe Sportife Figeacois, from 2009/10 to 2011/12, and SC Decazeville, since 2012/13, in the Fédérale 2.
Urjukashvili is one of the best players and scorers for Georgia, holding currently 69 caps for his National Team, with 18 tries, 42 conversions, 41 penalties and 1 drop goal, in an aggregate of 313 points.
Urjukashvili was called for the 2003 Rugby World Cup, playing three matches and scoring 2 penalties and 1 drop goal, 9 points in aggregate.
Urjukashvili was called once again for the 2007 Rugby World Cup, playing in all the four matches and scoring one conversion.
He continued to be a valuable player in the 2011 Rugby World Cup qualification, the third Georgia gained in a row, playing three games and scoring 1 penalty and 1 conversion in the final stage, 5 points on aggregate.