In 1990, Alisa Marić won the Candidates Tournament for the Women's World Chess Championship in Borjomi, Georgia, USSR (together with Xie Jun).

In 1991, Alisa Marić and Xie Jun played the final challenger match in two parts; first in Belgrade, Yugoslavia, second in Beijing, China.

Chinese Xie Jun won 4,5:2,5 and later that year became the Women's World Chess Champion by defeating Maya Chiburdanidze of USSR.

In Moscow, Russia 2001, she played 3rd round against Chinese Zhu Chen, who then became Women's World chess champion.

[2] In Shanghai 2001, Alisa Marić played for six members "Rest of the World team" in an exhibition match against China.

She played first board on ten Chess Olympiads (Dubai 1986, Thessalonica 1988, Novi Sad 1990, Moscow 1994, Yerevan 1996, Elista 1998, Istanbul 2000, Calvià 2004, Torino 2006 and Dresden 2008) and five European Team Championships (Batumi 1999, Leon 2001, Plovdiv 2003, Gothenburg 2005 and Novi Sad 2009).

Alisa Marić has a Ph.D. in economics, and she is working as marketing professor on the faculty of culture and media at Megatrend University in Belgrade.