Also on 10 November 2009[5] and 9 February 2010,[6] Crespo was recognized as Best Swimmer of the Week of the Mountain West Conference (MWC) for his performance.

On 26 February 2010, Crespo became Champion of the Mountain West Conference (MWC Championship) in the 100 yards breaststroke (53.32), setting a record for TCU.

On 1 March 2010, he received a mentioned as an All-MWC from the Mountain West Conference (MWC) in the 100 butterfly and 100 yards breaststroke.

He led the swim team of Texas Christian University (TCU) in won races (9 individually).

[2] On 11 January 2011, Crespo was named TCU Athlete of the Week for his performance (he won the 100 and 200 yards breaststroke) in a competition against UNLV in Las Vegas.

He also competed in the 200 yards breaststroke, finishing fourth place with a time of 1:58.60, breaking the record of Jason Flint (1:59.45) which was set in 1996.

On 10 March 2011, Crespo was selected, for the second time, to participate and represent Texas Christian University at the 2011 NCAA National Swimming Championships in Minnesota, Minneapolis.

He achieved two TCU Athlete of the Week awards on 19 October 2011[11] and 25 January 2012[12] for his performances during competitions with the team.

Also on 1 February 2012,[13] Crespo was recognized by TCU as Scholar-Athlete (student-athlete) of January at Texas Christian University.

[1][14] Aged 16, Crespo took part in the 2006 FINA Youth World Swimming Championships held in Rio de Janeiro, Brazil.

[18] Again, Crespo was bearer of the delegation that represented Panama during the 2013 Bolivarian Games held in Trujillo, Peru.

In his third appearance at the Central American Games held in San Jose, Costa Rica, Crespo won 6 gold medals.

[26] He was appointed as the King of the 2013 Central American Games because he was the athlete with most medals won individually among all participants.

He won the bronze medal in the 100 m breaststroke[39] Crespo returned to the South American Games in Cochabamba 2018.

Crespo participated in his first Pan American Games held in Rio de Janeiro, Brazil at the age of 18.

[16][42] Crespo returned to compete in the 2011 Pan American Games, which this time was held in Guadalajara, Mexico.

[16] Edgar Crespo returned to compete in the 2015 Pan American Games, held in Toronto, Canada.

However, the Panamanian singer, Rubén Blades, praised him on his official Facebook page and criticized the negative responses of different newspapers in Panama.

[46] Crespo returned to compete in the 2019 Pan American Games, which this time was held in Lima, Peru.

[50] At 24 years old, Crespo represented Panama in his second Summer Olympic Games, held in London, England.

During the World Swimming Championships 2011 held in Shanghai, China, Crespo achieved the B standard time in the 100 m breaststroke.

[51] Also during the Indy Grand Prix swimming competition held in Indianapolis, United States, Crespo got the B standard time in the 200 m breaststroke.

[52] Approaching the starting date of the 2012 Summer Olympics, the International Swimming Federation (FINA) did not send the invitations to Panama since the Panamanian Federation Swimming (FPN) decided not to use the wild card that allowed the two athletes per country: male and female, to compete regardless if they achieved or did not achieve the A standard times.

Crespo achieved the B time in the 100 meters breaststroke at the Stockholm Swim Open, a competition held in Sweden in March 2016.

[58] This B time kept Crespo in the World Ranking to be invited by the International Swimming Federation (FINA) and qualify for Rio 2016.