[13] In 2014, Pazhava started her season at the 2014 Moscow Grand Prix, finishing 9th in all-around, qualifying for event finals in clubs and ribbon.

[19] In September, at the 2014 World Cup series in Kazan, Russia, she placed 16th in all-around and qualified to two event finals, finishing 6th in ribbon and 8th in clubs.

[24] At the 2015 European Championships, Team Georgia finished 8th and Pazhava qualified to all four event finals – placing 4th in hoop, 6th in ball, 7th in clubs and 6th in ribbon.

She qualified to all four apparatus finals, taking a historic bronze medal in ribbon (a first for a Georgian rhythmic gymnast in any continental competition); she finished 4th in hoop, ball and clubs.

In the all-around finals, she narrowly missed the bronze medal, scoring a total of 71.782 points and finishing in 4th place behind Belarusian Melitina Staniouta.

[31] At the 2015 Aeon Cup, held in October in Tokyo, Pazhava finished 5th in the individual all-around finals with a total of 71.099 points.

In 2016, Pazhava began her season at the 2016 Grand Prix Moscow, finishing 7th in the all-around with a total of 71.748 and winning the bronze medal in the hoop final.

She finished 6th in the all-around with a total of 70.750 points and she qualified to three apparatus finals, taking bronze in clubs, and placing 4th in ball and hoop.

Having qualified to all apparatus finals, she won gold in clubs ahead of Averina and two silver medals (hoop and ribbon), and placed 5th in ball.

[6] In 2017 Season, recovering from her previous injury, Pazhava suffered another setback injuring her arm, thus withdrawing her name in the entry list for the 2017 World Cup events.

Pazhava started the season with a competition at the 2018 Moscow Grand Prix finishing 6th in the all-around behind Belarusian Katsiaryna Halkina, she qualified into the hoop, ball and ribbon finals.

[42] On 7–8 April she competed at the RG Tournament Irina Cup in Warsaw, Poland where she won bronze medal in the all-around.

[50] Selected for the World Championships in Baku Salome ended 18th in the All-Around, a place short of the direct qualification for the Olympic Games.

[55] At the 2020 Olympic Games, after earning a quota thanks to reallocation, Pazhava finished seventeenth in the qualification round for the individual all-around.