[3] In December 2021, Kevlishvili tied for 1st place at the 2021 Charlotte Open alongside Grandmasters Titas Stremavičius, Cemil Can Ali Marandi, Christopher Yoo, Tanguy Ringoir, and Akshat Chandra.

[4] In the Trinidad and Tobago International Open 2022, Kevlishvili won the Blitz event with a perfect 9/9 score.

In 2022, Kevlishvili represented the Netherlands at the World Team Championship in Jersusalem, Israel, winning an individual bronze medal.

In 2022, Kevlishvili won the 2022 Pan-American Intercollegiate Chess Championship as part of team SLU.

In 2025, with Kevlishvili as the team captain, Saint Louis finished third at the Pan-American Intercollegiate Championship, qualifying for the 2025 President's Cup.