Born in Fier, Bare started his youth career for Olimpic CF in January 2010 and after 2+1⁄2 seasons there he moved to his hometown's club Apolonia.

On 26 December 2013, Bare successfully become an Atlético Madrid player after passing the trial at mini-tournament at Tbilisi, Georgia where was also named the best midfielder.

[6] He was brought for the first time to senior squad by manager Diego Simeone in January 2014 for the Copa del Rey match against Las Palmas, where he also debuted by playing in the last minutes in place of Ángel Correa.

[12] However, shortly after, he was promoted to the senior squad,[13] making his debut in the Segunda División on 11 November in the 2–2 away draw against Sporting de Gijón.

[14] Bare established himself as a regular starter for the main squad from January 2019, and featured in both matches of the promotion play-offs as his side was knocked out by Deportivo de La Coruña.

[25] Bare continued to be part of the under-21 squad as he was called up in June for the friendly against France and the opening qualifying match of 2019 UEFA European Under-21 Championship against Estonia.