The footballer began his career at the Lithuanian National Football Academy, then played for the most titled team in Lithuania, Žalgiris Vilnius, for four seasons.
With Žalgiris, he became a three-time champion of Lithuania (2020, 2021, 2022) and a two-time Super Cup winner (2020, 2023).
In the Lithuanian A Lyga, the midfielder played 66 games and scored 15 goals.
Vareika's previous club was Lithuanian Hegelmann, where he became a vice-champion of Lithuania last season.
Matas Vareika has also played for Lithuania's youth teams, and in March 2024 he made his debut in his country's national team.