Dhameystir weedha soo socota: Laga soo bilaabo 1986, waxay haysaa doorka ciyaaryahanka ugu weyn ee xulashada shaashadda qaranka. Waxay ku guuleysatay billaddii naxaasta ahayd ee kooxda ee Chess Olympiad ee Tesaloniika 1988, iyo billaddii naxaasta ahayd ee shaqsiga ah ee Chess Olympiad ee Elista 1998. Waxay ku guuleysatay billaddii lacagta ahayd ee Kooxda Kooxda Yurub ee Shaashadda ee Batumi 1999. Sanadkii 2001, Alisa Marić waxay u ciyaartay lix xubnood "Kooxda Caalamka inteeda kale" kulan bandhig oo ka dhan ah Shiinaha. Sanadkii 2007, waxaa lagu abaalmariyay abaalmarinta "St. Sava prize" ee sanadguuradii 20-aad ee xubin ka ahaanshaha xulka qaranka. Waxay ka ciyaartay 10 olympiad oo Chess ah (
Dubai 1986, Thessalonica 1988, Novi Sad 1990, Moscow 1994, Yerevan 1996, Elista 1998, Istanbul 2000, Calvià 2004, Torino 2006 iyo Dresden 2008) iyo shan Koox oo Yurub ah (Batumi 1999, Leon 2001, Plovdiv 2003, Gothenburg 2005 iyo Novi Sad 2009). Saddex jeer Alisa Marić waxay ku guuleysatay Koobka Naadiga Chess ee Yurub naadiga "Agrouniverzal" oo ka socda Belgrade.