Luchia performed well on the cross country running circuit in late 1991 to early 1992, taking wins at the Cross Zornotza, Cross de San Sebastián, Cinque Mulini and Almond Blossom Cross Country. These performances contributed to her rank of third place on the IAAF World Cross Challenge series for that season. She was selected for the 1992 IAAF World Cross Country Championships and her tenth-place finish led the Ethiopian women to the bronze medals in the team competition.