[1] Born in Seville, Andalusia, Eliseo joined Sevilla FC's youth setup in 2012, from Calavera CF.
[2] Eliseo made his senior debut for the reserves on 1 May 2016, coming on as a late substitute in a 4–0 away win against UD Almería B in the Segunda División B championship.
[3] He made his professional debut on 12 November, replacing Yan Brice in a 1–0 Segunda División home win against the latter's first team.
[5] On 16 July 2019, he joined fellow league team Atlético Levante UD after being sparingly used by the Nazarís.
[6] Eliseo made his first team – and La Liga – debut on 7 December 2019, starting and being sent off in a 2–4 home loss against Valencia CF.