Mezue ahịrịokwu na-esonụ: Malite n'afọ 1986, ọ na-arụ ọrụ dị ka onye isi na-egwu egwuregwu na mba chess. O meriri ọla nchara nke otu egwuregwu na Chess Olympiad na Thessalonica 1988, na ọla nchara nke onye ọ bụla na Chess Olympiad na Elista 1998. O ritere ọla ọcha na European Team Chess Championship na Batumi 1999. Na Shanghai 2001, Alisa Marić gbara ndị otu isii "Rest of the World team" n'egwuregwu ngosi megide China. Na Belgrade 2007, e nyere ya "St. Sava prize" maka afọ iri abụọ dị ka onye otu mba. Ọ gbara bọọlụ mbụ na Olimpik Chess iri (Dubai 1986,
Thessalonica 1988, Novi Sad 1990, Moscow 1994, Yerevan 1996, Elista 1998, Istanbul 2000, Calvià 2004, Torino 2006 na Dresden 2008) na ise European Team Championships (Batumi 1999, Leon 2001, Plovdiv 2003, Gothenburg 2005 na Novi Sad 2009). Ugboro atọ Alisa Marić meriri European Chess Club Cup na klọb "Agrouniverzal" si Belgrade.