On 17 February, it was revealed on the Hearts website that he was having a trial with the Scottish Premier League side.

On 8 December 2009 the 27-year-old Lithuanian defender has signed a two-year deal with Sibir.

[4] On 28 January 2020, he also founded and became the president of the Association of Professional Footballers (PFA - Profesionalių futbolininkų asociacija).

The association was established to unionize Lithuanian professional footballers, properly represent their interests and provide them with qualified assistance.

[5] Klimavičius covered the UEFA Euro 2020 as a studio analyst on LNK.