Here is a list of Obelmejias's best fights. For a list of Obelmejias's losses, refer to "Fulgencio Obelmejias Losses".
On October 6, 1981 Fulgencio Obelmejias faced off against Eddie Gazo at age 28. He was coming in with a record of 34-1 (31), and Gazo was 31 years old and with a record of 40-8-2 (22). Obelmejias stopped Eddie Gazo via KO.
On August 7, 1979 Fulgencio Obelmejias faced off against Luis Arias in a middleweight bout at age 26. He was coming in with a record of 18-0 (17). Obelmejias stopped Luis Arias via KO.