[1] In April, Bulimar competed at the 2010 European Women's Artistic Gymnastics Championships in Birmingham, United Kingdom.
She helped Romania to win the team competition with scores of 13.550 on uneven bars, 14.900 on balance beam, and 14.400 on floor.
She helped Romania to win the team competition with scores of 13.950 on uneven bars, 14.550 on balance beam, and 14.450 on floor.
She contributed scores of 13.933 on uneven bars, 14.733 on balance beam, and 14.633 on floor towards the Romanian team's first-place finish.
[15] In June, Bulimar competed at the Artistic Gymnastics World Cup event in Ghent, Belgium.
[16] At the beginning of July, Bulimar competed at an international meet against France, Germany, and Italy in Bucharest, Romania.
She helped Romania to win the team competition with scores of 14.100 on uneven bars, 15.400 on balance beam, and 14.500 on floor.
[22] At the 6th Doha FIG World Challenge Cup in Qatar, Bulimar placed fifth on the uneven bars final on 28 March 2013.
[26] In June she won gold on floor exercise (tied with teammate Larisa Iordache) and bronze on beam at the 2013 Anadia World Cup.
[27] Her last competition of the year was the Turnen Dames Interland where she won gold in the all-around, balance beam, and floor exercise, and a bronze on uneven bars.
She was scheduled to compete at the Romanian National Championships, but she dislocated her kneecap during podium training and needed immediate surgery, taking her out for the rest of the season.
[35] For the second year in a row, Bulimar had to miss Romanian Nationals and the World Championships due to a knee injury.
[39] She returned to competition in September at a friendly meet between Romania and France where she helped her team to the gold medal, competing on bars and beam, and performing her floor routine on a tumble track to facilitate her recovery.
[40] At the Romanian Championships at the end of September, she won the bronze medal in the all-around competition along with a silver on the beam.
[41] Bulimar was named to the Romanian team for the World Championships along with Larisa Iordache, Anamaria Ocolișan, Laura Jurca, Silvia Zarzu, and Cătălina Ponor.
She chose to perform on the vault, beam and floor, and won the bronze medal behind teammate Larisa Iordache and Germany's Pauline Schäfer.
[56] In a press conference after the competition, Adrian Stoica, the president of the Romanian Gymnastics Federation, announced that the one individual spot Romania had at the Olympics would go to either Iordache or Ponor, leaving Bulimar out of contention.